Joseph Leonard Walsh - Author Profile

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Walsh, Joseph Leonard (b. 1895 d. 1973)

Author ID:	walsh.joseph-l
Published as:	Walsh, J. L.; Walsh, Joseph L.; Walsh, J.-L.; Walsh, J. more...less
External Links:	MacTutor · MGP · Wikidata · GND · IdRef

Documents Indexed:	382 Publications since 1916, including 13 Books
Biographic References:	3 Publications
Co-Authors:	31 Co-Authors with 98 Joint Publications
	494 Co-Co-Authors

all top 5

Co-Authors

278	single-authored
18	Sewell, Walter Edwin
16	Motzkin, Theodore Samuel
16	Nilson, Edwin N.
11	Ahlberg, J. H.
6	Seidel, Wladimir
5	Evans, John P.
5	Russell, Helen G.
4	Elliott, H. Margaret
4	Shisha, Oved
3	Fekete, Michael
3	Merriman, Gaylord Maish
3	Saff, Edward Barry
2	Aharonov, Dov
2	Davis, Philip J.
2	Gaier, Dieter
2	Gauthier, Paul M.
2	Wiener, Norbert
1	Ahlberg, J. A.
1	Curtiss, John Hamilton
1	Galbraith, Alan Stuart
1	Hille, Einar
1	Landau, Henry Jacob
1	Marden, Morris
1	Rahman, Qazi Ibadur
1	Rivlin, Theodore Joseph
1	Rosenfeld, Leon
1	Roth, Alice
1	Russell, G. H.
1	Schempp, Walter Johannes
1	Schneider, Walter J.
1	Sharma, Ambikeshwar
1	Shohat, James Alexander
1	Sinclair, Annette
1	Stechkin, Sergeĭ Borisovich
1	Subbotin, Yuriĭ Nikolaevich
1	Thompson, Maynard
1	Widder, David Vernon
1	Zedek, Mishael

all top 5

Serials

94	Bulletin of the American Mathematical Society
61	Transactions of the American Mathematical Society
58	Proceedings of the National Academy of Sciences of the United States of America
20	American Mathematical Monthly
15	Proceedings of the American Mathematical Society
11	Duke Mathematical Journal
9	Annals of Mathematics. Second Series
9	Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
7	Journal d’Analyse Mathématique
7	Pacific Journal of Mathematics
6	American Journal of Mathematics
5	Journal of Approximation Theory
5	Mathematische Annalen
5	Mathematische Zeitschrift
5	Journal de Mathématiques Pures et Appliquées. Neuvième Série
5	Journal of Mathematics and Mechanics
5	Colloquium Publications. American Mathematical Society
4	Journal of Mathematical Analysis and Applications
3	Tohoku Mathematical Journal
3	Journal of Mathematics and Physics
2	Acta Mathematica
2	Archiv der Mathematik
2	Mathematica
1	Journal of Research of the National Bureau of Standards
1	Rocky Mountain Journal of Mathematics
1	Acta Scientiarum Mathematicarum
1	Annali di Matematica Pura ed Applicata. Serie Quarta
1	Annales Polonici Mathematici
1	Bayerische Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte
1	Canadian Journal of Mathematics
1	Compositio Mathematica
1	Illinois Journal of Mathematics
1	Journal für die Reine und Angewandte Mathematik
1	Michigan Mathematical Journal
1	Proceedings of the London Mathematical Society. Third Series
1	SIAM Journal on Numerical Analysis
1	Aequationes Mathematicae
1	Académie Serbe des Sciences, Publications de l’Institut Mathématique
1	Bulletin de la Société Mathématique de Belgique
1	Rendiconti del Circolo Matematico di Palermo
1	The Quarterly Journal of Pure and Applied Mathematics

all top 5

Fields

17	Functions of a complex variable (30-XX)
6	Field theory and polynomials (12-XX)
3	Algebraic geometry (14-XX)
3	Approximations and expansions (41-XX)
3	Harmonic analysis on Euclidean spaces (42-XX)
2	History and biography (01-XX)
2	Linear and multilinear algebra; matrix theory (15-XX)
2	Potential theory (31-XX)
2	Numerical analysis (65-XX)
2	Mechanics of particles and systems (70-XX)
1	Real functions (26-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

207 Publications have been cited 2,474 times in 1,974 Documents	Cited by ▼	Year ▼
The theory of splines and their applications. Zbl 0158.15901 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	609	1967
Interpolation and approximation by rational functions in the complex domain. Reprint of the revised ed. Zbl 0106.28104 Walsh, J. L.	216	1960
Interpolation and approximation by rational functions in the complex domain. Zbl 0013.05903 Walsh, J. L.	216	1935
A closed set of normal orthogonal functions. JFM 49.0293.03 Walsh, J. L.	169	1923
Interpolation and approximation by rational functions in the complex domain. 4th ed. Zbl 0146.29902 Walsh, J. L.	81	1965
The location of critical points of analytic and harmonic functions. Zbl 0041.04101 Walsh, J. L.	64	1950
The approximation of harmonic functions by harmonic polynomials and by harmonic rational functions. JFM 55.0889.05 Walsh, J. L.	45	1929
On approximation by euclidean and non-euclidean translations of an analytic function. Zbl 0028.40003 Seidel, W.; Walsh, J. L.	32	1941
Best approximation properties of the spline fit. Zbl 0196.48603 Walsh, J. L.; Ahlberg, J. A.; Nilson, E. N.	29	1962
Best approximation and convergence properties of higher-order spline approximations. Zbl 0141.06801 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	27	1965
Overconvergence, degree of convergence and zeros of sequences of analytic functions. Zbl 0063.08149 Walsh, J. L.	25	1946
Interpolation and approximation by rational functions in the complex domain. Übersetzung aus dem Englischen von A. A. Gonchar und S. Ya. Khavinson. Mit Anlage eines Artikels von S. N. Mergelyan. Zbl 0106.28103 Walsh, J. L.	23	1961
Complex cubic splines. Zbl 0186.39002 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	22	1967
Fundamental properties of generalized splines. Zbl 0136.36204 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	21	1964
A mean value theorem for polynomials and harmonic polynomials. Zbl 0016.12302 Walsh, J. L.	21	1936
On approximation to an analytic function by rational functions of best approximation. Zbl 0008.11203 Walsh, J. L.	20	1934
On the derivatives of functions analytic in the unit circle and their radii of univalence and of p-valence. Zbl 0060.22002 Seidel, W.; Walsh, J. L.	20	1942
Note on degree of approximation to analytic functions by rational functions with preassigned poles. Zbl 0072.29003 Walsh, J. L.	20	1956
On the conformal mapping of multiply connected regions. Zbl 0071.07202 Walsh, J. L.	18	1956
Integrated continuity conditions and degree of approximation by polynomials or by bounded analytic functions. Zbl 0098.04901 Walsh, J. L.; Russell, H. G.	17	1959
The analogue for maximally convergent polynomials of Jentzsch’s theorem. Zbl 0091.06602 Walsh, J. L.	16	1959
Interpolation and approximation by rational functions in the complex domain. JFM 61.0315.01 Walsh, J. L.	16	1935
The theory of splines and their applications. Translated from the English by Yu. N. Subbotin. Edited by S. B. Stechkin and expanded by S. B. Stechkin and Yu. N. Subbotin. (Теория сплайнов и ее приложения.) Zbl 0238.65001 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	15	1972
Convergence properties of generalized splines. Zbl 0136.36301 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	14	1965
Über die Entwicklung einer analytischen Funktion nach Polynomen. JFM 52.0299.04 Walsh, J. L.	14	1926
Padé approximants as limits of rational functions of best approximation. Zbl 0152.06202 Walsh, J. L.	14	1964
Padé approximate as limits of rational functions of best approximation, real domain. Zbl 0306.41010 Walsh, Joseph L.	13	1974
Least \(p\)-th power polynomials on a real finite point set. Zbl 0064.06002 Motzkin, T. S.; Walsh, J. L.	12	1955
The existence of rational functions of best approximation. Zbl 0002.40101 Walsh, J. L.	12	1931
On the asymptotic behavior of polynomials with extremal properties, and of their zeros. Zbl 0068.28501 Fekete, M.; Walsh, J. L.	12	1955
Underpolynomials and infrapolynomials. Zbl 0078.26101 Motzkin, T. S.; Walsh, J. L.	12	1957
Über die Entwicklung einer Funktion einer komplexen Veränderlichen nach Polynomen. JFM 52.0300.01 Walsh, J. L.	11	1926
Best approximators within a linear family on an interval. Zbl 0097.04803 Walsh, J. L.; Motzkin, T. S.	11	1960
Properties of analytic splines. I: Complex polynomial splines. Zbl 0185.13502 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	11	1969
Lemniscates and equipotential curves of Green’s function. Zbl 0011.02201 Walsh, J. L.	11	1935
On the degree of polynomial approximation to harmonic and analytic functions. Zbl 0035.17102 Walsh, J. L.; Sewell, W. E.; Elliott, H. M.	11	1949
A generalization of Faber’s polynomials. Zbl 0081.29501 Walsh, J. L.	11	1958
Sufficient conditions for various degrees of approximation by polynomials. Zbl 0023.40303 Walsh, J. L.; Sewell, W. E.	11	1940
Least p-th power polynomials on a finite point set. Zbl 0072.25206 Motzkin, T. S.; Walsh, J. L.	11	1956
The convergence of sequences of rational functions of best approximation. Zbl 0152.06303 Walsh, J. L.	11	1964
On the location of the roots of the Jacobian of two binary forms, and of the derivative of a rational function. JFM 46.0127.04 Walsh, J. L.	10	1918
An inequality for the roots of an algebraic equation. JFM 50.0045.03 Walsh, J. L.	10	1924
Extremal, orthogonality and convergence properties of multidimensional splines. Zbl 0136.04802 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	9	1965
The convergence of approximating rational functions of prescribed type. Zbl 0173.31303 Walsh, J. L.	9	1966
Complex polynomial splines on the unit circle. Zbl 0203.07301 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	9	1971
Über die Entwicklung einer harmonischen Funktion nach harmonischen Polynomen. JFM 54.0510.02 Walsh, J. L.	8	1928
On the convergence of the Sturm-Liouville series. JFM 49.0315.02 Walsh, J. L.	8	1923
Solution of the Dirichlet problem for the ellipse by interpolating harmonic polynomials. Zbl 0092.29302 Walsh, J. L.	8	1960
A theorem of Grace on the zeros of polynomials, revisited. Zbl 0126.02901 Walsh, J.	8	1964
Note on the location of zeros of extremal polynomials in the non- Euclidean plane. Zbl 0047.02003 Walsh, J. L.	8	1952
Polynomial approximation to harmonic and analytic functions: generalized continuity conditions. Zbl 0037.05401 Walsh, J. L.; Elliott, H. Margaret	8	1950
On the derivative of a polynomial and Chebyshev approximation. Zbl 0050.06902 Motzkin, T. S.; Walsh, J. L.	8	1953
Bibliography on orthogonal polynomials. Zbl 0025.04103 Shohat, J. A.; Hille, Einar; Walsh, J. L.	7	1940
On the accuracy of the numerical solution of the Dirichlet problem by finite differences. Zbl 0052.35204 Walsh, J. L.; Young, David	7	1953
Interpolation and functions analytic interior to the unit circle. Zbl 0004.40201 Walsh, J. L.	7	1932
Interpolation and orthonormal systems. Zbl 0049.05301 Walsh, J. L.; Davis, Philip	7	1952
Possibility of uniform rational approximation in the spherical metric. Zbl 0322.30036 Gauthier, P. M.; Roth, A.; Walsh, Joseph L.	7	1976
History of the Riemann mapping theorem. Zbl 0273.30003 Walsh, Joseph L.	6	1973
Polynomials of best approximation on a real finite point set. I. Zbl 0089.04801 Motzkin, T. S.; Walsh, J. L.	6	1959
Polynomials of best approximation on an interval. Zbl 0097.04901 Walsh, J. L.; Motzkin, T. S.	6	1959
Über den Grad der Approximation einer analytischen Funktion. JFM 52.0299.03 Walsh, J. L.	6	1926
Extension and some applications of the coincidence theorems. Zbl 0189.35903 Rubinstein, Z.; Walsh, J. L.	6	1969
Note on approximation by bounded analytic functions. Zbl 0044.07805 Walsh, J. L.	6	1951
On the degree of convergence of solutions of difference equations to the solution of the Dirichlet problem. Zbl 0055.08901 Walsh, J. L.; Young, David	6	1954
Zur Methode der variablen Gebiete bei der Randverzerrung. Zbl 0058.30404 Walsh, J. L.; Gaier, D.	6	1954
Sur l’approximation par fonctions rationnelles et par fonctions holomorphes bornées. Zbl 0066.05305 Walsh, J. L.	6	1955
On interpolation to harmonic functions by harmonic polynomials. Zbl 0005.01703 Walsh, J. L.	6	1932
On the convergence of rational functions which interpolate in the roots of unity. Zbl 0264.30038 Saff, E. B.; Walsh, J. L.	5	1973
On the degree of approximation to an analytic function by means of rational functions. JFM 54.0361.02 Walsh, J. L.	5	1928
On the expansion of analytic functions in series of polynomials. JFM 50.0239.03 Walsh, J. L.	5	1924
A property of Haar’s system of orthogonal functions. JFM 49.0293.02 Walsh, J. L.	5	1923
A sequence of rational functions with application to approximation by bounded analytic functions. Zbl 0116.28202 Walsh, J. L.	5	1963
The location of the zeros of the derivative of a rational function revisited. Zbl 0126.03002 Walsh, J.	5	1964
Cubic splines on the real line. Zbl 0179.36502 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	5	1968
The zeros of infrapolynomials with some prescribed coefficients. Zbl 0192.16601 Shisha, O.; Walsh, J. L.	5	1961
Least squares and interpolation in roots of unity. Zbl 0192.16802 Walsh, J. L.; Sharma, A.	5	1964
Extensions of D. Jackson’s theorem on best polynomial mean approximation. Zbl 0174.36702 Walsh, J. L.; Saff, E. B.	5	1969
Approximation to a function by a polynomial in another function. Zbl 0182.39102 Walsh, J. L.	5	1969
Note on the location of zeros of the derivative of a rational function whose zeros and poles are symmetric in a circle. Zbl 0021.23703 Walsh, J. L.	5	1939
Polynomial expansions of functions defined by Cauchy’s integral. Zbl 0049.05203 Walsh, J. L.	5	1952
Degree of approximation on a Jordan curve. Zbl 0049.05204 Walsh, J. L.; Elliott, H. Margaret	5	1952
Interpolation and approximation by functions analytic and bounded in a given region. Zbl 0061.14210 Nilson, E. N.; Walsh, J. L.	5	1944
The convergence of sequences of rational functions of best approximation. II. Zbl 0152.06304 Walsh, J. L.	5	1965
The existence of rational functions of best approximation. JFM 57.0372.03 Walsh, J. L.	4	1931
On the location of the roots of the jacobian of two binary forms, and of the derivative of a rational function. JFM 48.0086.05 Walsh, J. L.	4	1921
On the transformation of convex point sets. JFM 48.0840.03 Walsh, J. L.	4	1921
On Pellet’s theorem concerning the roots of a polynomial,. JFM 50.0044.03 Walsh, J. L.	4	1924
Approximation by bounded analytic functions. Zbl 0094.04501 Walsh, J. L.	4	1960
The convergence of sequences of rational functions of best approximation with some free poles. Zbl 0143.29603 Walsh, J. L.	4	1965
On interpolation and approximation by rational functions with preassigned poles. JFM 58.0311.01 Walsh, J. L.	4	1932
An extension of the generalized Bernstein lemma. Zbl 0182.09203 Walsh, J. L.	4	1967
On the convergence and overconvergence of sequences of polynomials of best simultaneous approximation to several functions analytic in distinct regions. Zbl 0008.21402 Walsh, J. L.; Russell, Helen G.	4	1934
Maximal convergence of sequences of harmonic polynomials. Zbl 0017.10801 Walsh, J. L.	4	1937
Note on the relation between continuity and degree of polynomial approximation in the complex domain. Zbl 0017.39503 Walsh, J. L.; Sewell, W. E.	4	1937
On the degree of polynomial approximation to analytic functions: Problem \(\beta\). Zbl 0025.32004 Walsh, J. L.; Sewell, W. E.	4	1941
On functions analytic in a region: Approximation in the sense of least p- th powers. Zbl 0035.16904 Walsh, J. L.; Nilson, E. N.	4	1949
Asymptotic behavior of restricted extremal polynomials and of their zeros. Zbl 0079.29303 Fekete, M.; Walsh, J. L.	4	1957
Note on degree of approximation to an integral by Riemann sums. Zbl 0016.29901 Walsh, J. L.; Sewell, W. E.	4	1937
Note on the convergence of approximating rational functions of prescribed type. Zbl 0152.06302 Walsh, J. L.	4	1963
Selected papers. With brief biographical sketches by W. E. Sewell, D. V. Widder and Morris Marden and commentaries by Q. I. Rahman, P. M. Gauthier, Dieter Gaier, Walter Schempp and the editors. Edited by Theodore J. Rivlin and Edward B. Saff. Zbl 0971.01015 Walsh, Joseph L.	3	2000
Selected papers. With brief biographical sketches by W. E. Sewell, D. V. Widder and Morris Marden and commentaries by Q. I. Rahman, P. M. Gauthier, Dieter Gaier, Walter Schempp and the editors. Edited by Theodore J. Rivlin and Edward B. Saff. Zbl 0971.01015 Walsh, Joseph L.	3	2000
Possibility of uniform rational approximation in the spherical metric. Zbl 0322.30036 Gauthier, P. M.; Roth, A.; Walsh, Joseph L.	7	1976
Padé approximate as limits of rational functions of best approximation, real domain. Zbl 0306.41010 Walsh, Joseph L.	13	1974
History of the Riemann mapping theorem. Zbl 0273.30003 Walsh, Joseph L.	6	1973
On the convergence of rational functions which interpolate in the roots of unity. Zbl 0264.30038 Saff, E. B.; Walsh, J. L.	5	1973
The theory of splines and their applications. Translated from the English by Yu. N. Subbotin. Edited by S. B. Stechkin and expanded by S. B. Stechkin and Yu. N. Subbotin. (Теория сплайнов и ее приложения.) Zbl 0238.65001 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	15	1972
Complex polynomial splines on the unit circle. Zbl 0203.07301 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	9	1971
Mean approximation by polynomials on a Jordan curve. Zbl 0217.38602 Walsh, J. L.	2	1971
Some examples in degree of approximation by rational functions. Zbl 0234.30022 Aharonov, D.; Walsh, J. L.	1	1971
Approximation by rational functions: Open problems. Zbl 0198.10402 Walsh, J. L.	2	1970
Properties of analytic splines. I: Complex polynomial splines. Zbl 0185.13502 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	11	1969
Extension and some applications of the coincidence theorems. Zbl 0189.35903 Rubinstein, Z.; Walsh, J. L.	6	1969
Extensions of D. Jackson’s theorem on best polynomial mean approximation. Zbl 0174.36702 Walsh, J. L.; Saff, E. B.	5	1969
Approximation to a function by a polynomial in another function. Zbl 0182.39102 Walsh, J. L.	5	1969
Note on approximation by bounded analytic functions, problem \(\alpha\): General configurations. Zbl 0179.38102 Walsh, J. L.	2	1969
Inequalities expressing degree of convergence of rational functions. Zbl 0174.36703 Walsh, J. L.	1	1969
Cubic splines on the real line. Zbl 0179.36502 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	5	1968
Note on classes of functions defined by integrated Lipschitz conditions. Zbl 0183.34303 Walsh, J. L.	1	1968
Degree of approximation by rational functions and polynomials. Zbl 0162.09801 Walsh, J. L.	1	1968
The theory of splines and their applications. Zbl 0158.15901 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	609	1967
Complex cubic splines. Zbl 0186.39002 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	22	1967
An extension of the generalized Bernstein lemma. Zbl 0182.09203 Walsh, J. L.	4	1967
On the convergence of sequences of rational functions. Zbl 0155.48104 Walsh, J. L.	3	1967
The convergence of approximating rational functions of prescribed type. Zbl 0173.31303 Walsh, J. L.	9	1966
Hyperbolic capacity and interpolating rational functions. II. Zbl 0148.30302 Walsh, J. L.; Russell, G. H.	2	1966
Approximation by polynomials. Uniform convergence as implied by mean convergence. III. Zbl 0173.07403 Walsh, J. L.	2	1966
Approximation by polynomials: Uniform convergence as implied by mean convergence. Zbl 0152.06204 Walsh, J. L.	2	1966
Approximation by polynomials. Uniform convergence as implied by mean convergence. II. Zbl 0152.06301 Walsh, J. L.	2	1966
Interpolation and approximation by rational functions in the complex domain. 4th ed. Zbl 0146.29902 Walsh, J. L.	81	1965
Best approximation and convergence properties of higher-order spline approximations. Zbl 0141.06801 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	27	1965
Convergence properties of generalized splines. Zbl 0136.36301 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	14	1965
Extremal, orthogonality and convergence properties of multidimensional splines. Zbl 0136.04802 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	9	1965
The convergence of sequences of rational functions of best approximation. II. Zbl 0152.06304 Walsh, J. L.	5	1965
The convergence of sequences of rational functions of best approximation with some free poles. Zbl 0143.29603 Walsh, J. L.	4	1965
Hyperbolic capacity and interpolating rational functions. Zbl 0148.30301 Walsh, J. L.	3	1965
On the degree of convergence of extremal polynomials and other extremal functions. Zbl 0152.26501 Walsh, J. L.; Sinclair, A.	1	1965
Geometry of the zeros of the sums of linear fractions. Zbl 0171.03502 Walsh, J. L.	1	1965
Fundamental properties of generalized splines. Zbl 0136.36204 Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L.	21	1964
Padé approximants as limits of rational functions of best approximation. Zbl 0152.06202 Walsh, J. L.	14	1964
The convergence of sequences of rational functions of best approximation. Zbl 0152.06303 Walsh, J. L.	11	1964
A theorem of Grace on the zeros of polynomials, revisited. Zbl 0126.02901 Walsh, J.	8	1964
The location of the zeros of the derivative of a rational function revisited. Zbl 0126.03002 Walsh, J.	5	1964
Least squares and interpolation in roots of unity. Zbl 0192.16802 Walsh, J. L.; Sharma, A.	5	1964
Surplus free poles of approximating rational functions. Zbl 0147.06501 Walsh, J. L.	2	1964
On the location of the zeros of a polynomial whose center of gravity is given. Zbl 0171.03403 Rubinstein, Z.; Walsh, J. L.	2	1964
Extremal polynomials and the zeros of the derivative of a rational function. Zbl 0137.04902 Walsh, J. L.; Shisha, O.	1	1964
Approximation with auxiliary conditions. Zbl 0147.06402 Thompson, Maynard; Walsh, J. L.	1	1964
A sequence of rational functions with application to approximation by bounded analytic functions. Zbl 0116.28202 Walsh, J. L.	5	1963
Note on the convergence of approximating rational functions of prescribed type. Zbl 0152.06302 Walsh, J. L.	4	1963
The zeros of infrapolynomials with prescribed values at given points. Zbl 0119.06102 Walsh, J. L.; Shisha, O.	3	1963
Zeros of the error function for Tchebycheff approximation in a small region. Zbl 0106.28105 Motzkin, T. S.; Walsh, J. L.	3	1963
Best approximation properties of the spline fit. Zbl 0196.48603 Walsh, J. L.; Ahlberg, J. A.; Nilson, E. N.	29	1962
Degree of polynomial approximation to an analytic function as measured by a surface integral. Zbl 0106.04601 Walsh, J. L.	2	1962
On the convexity of the ovals of lemniscates. Zbl 0126.28801 Walsh, Joseph L.	2	1962
Polynomials of best approximation on an interval. II. Zbl 0105.05001 Walsh, J. L.; Motzkin, T. S.	1	1962
Interpolation and approximation by rational functions in the complex domain. Übersetzung aus dem Englischen von A. A. Gonchar und S. Ya. Khavinson. Mit Anlage eines Artikels von S. N. Mergelyan. Zbl 0106.28103 Walsh, J. L.	23	1961
The zeros of infrapolynomials with some prescribed coefficients. Zbl 0192.16601 Shisha, O.; Walsh, J. L.	5	1961
The circles of curvature of the curves of steepest descent of Green’s function. Zbl 0099.08202 Walsh, J. L.	1	1961
A new generalization of Jensen’s theorem on the zeros of the derivative of a polynomial. Zbl 0101.25702 Walsh, J. L.	1	1961
Interpolation and approximation by rational functions in the complex domain. Reprint of the revised ed. Zbl 0106.28104 Walsh, J. L.	216	1960
Best approximators within a linear family on an interval. Zbl 0097.04803 Walsh, J. L.; Motzkin, T. S.	11	1960
Solution of the Dirichlet problem for the ellipse by interpolating harmonic polynomials. Zbl 0092.29302 Walsh, J. L.	8	1960
Approximation by bounded analytic functions. Zbl 0094.04501 Walsh, J. L.	4	1960
On degree of approximation by bounded harmonic functions. Zbl 0095.27703 Walsh, J. L.	1	1960
Integrated continuity conditions and degree of approximation by polynomials or by bounded analytic functions. Zbl 0098.04901 Walsh, J. L.; Russell, H. G.	17	1959
The analogue for maximally convergent polynomials of Jentzsch’s theorem. Zbl 0091.06602 Walsh, J. L.	16	1959
Polynomials of best approximation on a real finite point set. I. Zbl 0089.04801 Motzkin, T. S.; Walsh, J. L.	6	1959
Polynomials of best approximation on an interval. Zbl 0097.04901 Walsh, J. L.; Motzkin, T. S.	6	1959
On canonical conformal maps of multiply connected regions. Zbl 0086.28102 Walsh, J. L.; Landau, H. J.	2	1959
Note on invariance of degree of polynomial and trigonometric approximation under change of independent variable. Zbl 0095.05504 Walsh, J. L.	1	1959
Note on least-square approximation to an analytic function by polynomials, as measured by a surface integral. Zbl 0098.04902 Walsh, J. L.	1	1959
On extremal approximations. Zbl 0083.29201 Walsh, Joseph L.	1	1959
A generalization of Faber’s polynomials. Zbl 0081.29501 Walsh, J. L.	11	1958
On infrapolynomials with prescribed constant term. Zbl 0084.06902 Walsh, J. L.	3	1958
Location of zeros of infrapolynomials. Zbl 0086.02002 Motzkin, T. S.; Walsh, J. L.	1	1958
Underpolynomials and infrapolynomials. Zbl 0078.26101 Motzkin, T. S.; Walsh, J. L.	12	1957
Asymptotic behavior of restricted extremal polynomials and of their zeros. Zbl 0079.29303 Fekete, M.; Walsh, J. L.	4	1957
Polynomials of best approximation on a real finite point set. Zbl 0080.04405 Walsh, J. L.; Motzkin, T. S.	3	1957
Lipschitz conditions for harmonic and discrete harmonic functions. Zbl 0078.09401 Walsh, J. L.; Young, David	2	1957
On restricted infrapolynomials. Zbl 0077.02601 Fekete, M.; Walsh, J. L.	1	1957
Note on degree of approximation to analytic functions by rational functions with preassigned poles. Zbl 0072.29003 Walsh, J. L.	20	1956
On the conformal mapping of multiply connected regions. Zbl 0071.07202 Walsh, J. L.	18	1956
Least p-th power polynomials on a finite point set. Zbl 0072.25206 Motzkin, T. S.; Walsh, J. L.	11	1956
On generalized Tchebycheff polynomials. Zbl 0071.06101 Walsh, Joseph L.; Zedek, Mishael	3	1956
On the boundary behavior of a conformal map. Zbl 0070.30102 Walsh, J. L.; Rosenfeld, L.	2	1956
Best-approximation polynomials of given degree. Zbl 0071.06401 Walsh, J. L.	1	1956
Least \(p\)-th power polynomials on a real finite point set. Zbl 0064.06002 Motzkin, T. S.; Walsh, J. L.	12	1955
On the asymptotic behavior of polynomials with extremal properties, and of their zeros. Zbl 0068.28501 Fekete, M.; Walsh, J. L.	12	1955
Sur l’approximation par fonctions rationnelles et par fonctions holomorphes bornées. Zbl 0066.05305 Walsh, J. L.	6	1955
A generalization of Jensen’s theorem on the zeros of the derivative of a polynomial. Zbl 0064.01901 Walsh, J. L.	2	1955
On interpolation to a given analytic function fy analytic functions of minimum norm. Zbl 0064.31502 Evans, J. P.; Walsh, J. L.	1	1955
Détermination d’une fonction analytique par ses valeurs données dans une infinité dénombrable de points. Zbl 0065.06303 Walsh, J. L.	1	1955
On the degree of convergence of solutions of difference equations to the solution of the Dirichlet problem. Zbl 0055.08901 Walsh, J. L.; Young, David	6	1954
Zur Methode der variablen Gebiete bei der Randverzerrung. Zbl 0058.30404 Walsh, J. L.; Gaier, D.	6	1954
An interpolation problem for harmonic functions. Zbl 0055.09003 Walsh, J. L.	3	1954
Sur la représentation conforme des aires multiplement connexes. Zbl 0056.30204 Walsh, Joseph L.	3	1954
On representations and extensions of bounded linear functionals defined on classes of analytic functions. Zbl 0055.33802 Davis, Philip; Walsh, J. L.	2	1954
Note on the distribution of zeros of extremal polynomials. Zbl 0055.30002 Walsh, J. L.; Evans, J. P.	2	1954
On approximation by bounded analytic functions. Zbl 0055.06801 Walsh, J. L.; Evans, J. P.	1	1954
Sur l’approximation par fonctions analytiques bornées. Zbl 0056.06803 Walsh, Joseph L.	1	1954
...and 107 more Documents

all cited Publications top 5 cited Publications

all top 5

Cited by 1,946 Authors

56	Walsh, Joseph Leonard
31	Laurinčikas, Antanas
31	Saff, Edward Barry
23	Abdullayev, Fahreddin G.
19	Totik, Vilmos
18	Dick, Josef
18	Usmani, Riaz A.
17	Sakai, Manabu
16	González-Vera, Pablo
16	Qian, Tao
16	Varga, Richard Steven
15	Hayotov, Abdullo Rakhmonovich
15	Trefethen, Lloyd Nicholas
14	Kadalbajoo, Mohan K.
14	Shadimetov, Kholmat Mahkambaevich
13	Volkov, Yuriĭ Stepanovich
12	Bultheel, Adhemar François
12	Lubinsky, Doron S.
11	Khan, Arshad
11	Özkartepe, Naciye Pelin
10	Blatt, Hans-Peter
9	Ahlberg, J. H.
9	Hoskins, William D.
9	Kobza, Jiří
9	Luh, Wolfgang
9	Nilson, Edwin N.
9	Pillichshammer, Friedrich
9	Sharma, Ambikeshwar
8	Dikshit, Hanuman Prasad
8	Grigoryan, Martin Gevorgovich
8	Hall, Charles Allan
8	Kovacheva, Ralitsa Krumova
8	Sète, Olivier
8	Shevaldin, Valeriĭ Trifonovich
8	Shisha, Oved
7	Aziz, Tariq
7	Bica, Alexandru Mihai
7	Curtiss, John Hamilton
7	Hendriksen, Erik
7	Israfilov, Daniyal M.
7	Njåstad, Olav
7	Papamichael, Nicolas
7	Schaback, Robert
7	Stylianopoulos, Nikos S.
7	Zadorin, Aleksandr Ivanovich
6	Baratchart, Laurent
6	Bawa, Rajesh Kumar
6	Bellman, Richard Ernest
6	Bernal-Gonzàlez, Luis
6	Blatov, Igor A.
6	Blyth, William F.
6	Chawla, Man M.
6	Davis, Philip J.
6	Dunham, Charles B.
6	Freeden, Willi
6	Gauthier, Paul M.
6	Jain, Padam C.
6	Kitaeva, Elena V.
6	Macaitienė, Renata
6	Milovanović, Gradimir V.
6	Mohanty, Ranjan Kumar
6	Pommerenke, Christian
6	Pritsker, Igor E.
6	Reichel, Lothar
6	Sloss, Bruce Graydon
6	Stahl, Herbert Robert
6	Subbotin, Yuriĭ Nikolaevich
6	Zhensykbaev, Alexandr A.
5	Agarwal, Ravi P.
5	Behforooz, G. Hossein
5	Bello Hernández, Manuel
5	Bès, Juan P.
5	Chand, Arya Kumar Bedabrata
5	Chui, Charles Kam-tai
5	Delvos, Franz-Jürgen
5	Dovgoshey, Oleksiy Alfredovich
5	Gaier, Dieter
5	Goda, Takashi
5	Gutknecht, Martin H.
5	Jain, Mahinder Kumar
5	Korneĭchuk, Nikolaĭ Pavlovich
5	Kroó, András
5	Levin, A. L.
5	Levis, Fabián Eduardo
5	Mai, Weixiong
5	Menke, Klaus
5	Motzkin, Theodore Samuel
5	Putinar, Mihai
5	Rubinstein, Zalman
5	Šiaučiūnas, Darius
5	Vasudevan, Ramabhadra
5	Velikin, V. L.
5	Wallin, Hans
5	Wong, Patricia J. Y.
5	Zamani, Nader G.
5	Zheng, Dechao
4	Bloom, Thomas
4	Bonilla, Antonio
4	Browne Shaffer, Dorothy
4	Chamayou, Jean-Marie-Francois
...and 1,846 more Authors

all top 5

Cited in 339 Serials

210	Journal of Approximation Theory
77	Transactions of the American Mathematical Society
73	Journal of Computational and Applied Mathematics
71	Journal of Mathematical Analysis and Applications
67	Numerische Mathematik
64	Mathematical Notes
59	Proceedings of the American Mathematical Society
45	Ukrainian Mathematical Journal
32	Applied Mathematics and Computation
30	Computers & Mathematics with Applications
30	International Journal of Computer Mathematics
29	Journal of Computational Physics
29	Constructive Approximation
27	Journal d’Analyse Mathématique
25	Mathematische Zeitschrift
25	Computational Methods and Function Theory
24	Mathematics of Computation
23	Linear Algebra and its Applications
22	Siberian Mathematical Journal
16	Applied Numerical Mathematics
15	Computer Methods in Applied Mechanics and Engineering
15	Journal of the Franklin Institute
15	Journal of Functional Analysis
15	Mathematische Annalen
15	Numerical Algorithms
14	Analysis Mathematica
14	Computing
14	Bulletin of the American Mathematical Society
13	International Journal of Control
13	BIT
13	Calcolo
13	BIT. Nordisk Tidskrift for Informationsbehandling
12	Acta Mathematica Academiae Scientiarum Hungaricae
12	Annali di Matematica Pura ed Applicata. Serie Quarta
12	Archiv der Mathematik
11	Israel Journal of Mathematics
11	Lithuanian Mathematical Journal
11	Mathematical Methods in the Applied Sciences
11	Aequationes Mathematicae
11	Journal of Mathematical Sciences (New York)
11	Proceedings of the Steklov Institute of Mathematics
11	Complex Analysis and Operator Theory
10	Journal of Soviet Mathematics
10	Mathematics and Computers in Simulation
10	Monatshefte für Mathematik
10	Systems & Control Letters
10	Journal of Complexity
10	Complex Variables and Elliptic Equations
9	Computers and Fluids
9	Advances in Mathematics
9	Journal of Optimization Theory and Applications
8	Computer Physics Communications
8	Rocky Mountain Journal of Mathematics
8	Proceedings of the Japan Academy. Series A
8	Results in Mathematics
8	Acta Mathematica Hungarica
8	Computer Aided Geometric Design
8	Computational Mathematics and Mathematical Physics
8	Russian Mathematics
7	International Journal of Systems Science
7	Annales de l’Institut Fourier
7	Automatica
7	Numerical Functional Analysis and Optimization
7	Applied and Computational Harmonic Analysis
6	Acta Mathematica
6	Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
6	Journal of Number Theory
6	Tôhoku Mathematical Journal. Second Series
6	Fractals
6	Sbornik: Mathematics
5	Integral Equations and Operator Theory
5	Theoretical Computer Science
5	Journal of Scientific Computing
5	The Journal of Geometric Analysis
5	Applications of Mathematics
5	Bulletin of the American Mathematical Society. New Series
5	Comptes Rendus. Mathématique. Académie des Sciences, Paris
4	Journal of Engineering Mathematics
4	Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4	Arkiv för Matematik
4	Czechoslovak Mathematical Journal
4	Journal of Differential Equations
4	Publications of the Research Institute for Mathematical Sciences, Kyoto University
4	Acta Applicandae Mathematicae
4	Applied Mathematics Letters
4	Mathematical and Computer Modelling
4	Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
4	Applied Mathematical Modelling
4	Automation and Remote Control
4	Indagationes Mathematicae. New Series
4	Advances in Computational Mathematics
4	Foundations of Computational Mathematics
4	Science China. Mathematics
3	Biological Cybernetics
3	Bulletin of the Australian Mathematical Society
3	Linear and Multilinear Algebra
3	The Mathematical Intelligencer
3	Journal of Computer and System Sciences
3	Manuscripta Mathematica
3	Mathematische Nachrichten
...and 239 more Serials

all top 5

Cited in 59 Fields

630	Approximations and expansions (41-XX)
590	Numerical analysis (65-XX)
485	Functions of a complex variable (30-XX)
147	Harmonic analysis on Euclidean spaces (42-XX)
99	Ordinary differential equations (34-XX)
93	Partial differential equations (35-XX)
72	Potential theory (31-XX)
72	Functional analysis (46-XX)
71	Operator theory (47-XX)
70	Number theory (11-XX)
68	Systems theory; control (93-XX)
50	Fluid mechanics (76-XX)
46	Several complex variables and analytic spaces (32-XX)
34	Special functions (33-XX)
33	Computer science (68-XX)
31	Mechanics of deformable solids (74-XX)
30	Real functions (26-XX)
27	Linear and multilinear algebra; matrix theory (15-XX)
27	Information and communication theory, circuits (94-XX)
25	Integral equations (45-XX)
23	Calculus of variations and optimal control; optimization (49-XX)
22	Probability theory and stochastic processes (60-XX)
21	Statistics (62-XX)
18	Difference and functional equations (39-XX)
17	Measure and integration (28-XX)
16	Abstract harmonic analysis (43-XX)
15	Dynamical systems and ergodic theory (37-XX)
14	Operations research, mathematical programming (90-XX)
13	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12	History and biography (01-XX)
11	Combinatorics (05-XX)
11	Sequences, series, summability (40-XX)
11	Biology and other natural sciences (92-XX)
10	Optics, electromagnetic theory (78-XX)
9	Geophysics (86-XX)
8	Algebraic geometry (14-XX)
8	Differential geometry (53-XX)
7	Mechanics of particles and systems (70-XX)
7	Quantum theory (81-XX)
7	Statistical mechanics, structure of matter (82-XX)
6	Group theory and generalizations (20-XX)
6	Convex and discrete geometry (52-XX)
5	Mathematical logic and foundations (03-XX)
5	Integral transforms, operational calculus (44-XX)
4	Field theory and polynomials (12-XX)
4	Geometry (51-XX)
4	General topology (54-XX)
4	Classical thermodynamics, heat transfer (80-XX)
3	Commutative algebra (13-XX)
3	Associative rings and algebras (16-XX)
2	Order, lattices, ordered algebraic structures (06-XX)
2	Algebraic topology (55-XX)
2	Manifolds and cell complexes (57-XX)
2	Global analysis, analysis on manifolds (58-XX)
1	General and overarching topics; collections (00-XX)
1	\(K\)-theory (19-XX)
1	Topological groups, Lie groups (22-XX)
1	Astronomy and astrophysics (85-XX)
1	Mathematics education (97-XX)

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