Found 194 Documents (Results 1–100)
On methods investigating extremal problems in the theory of best approximation. (English) Zbl 0373.41026
Über Methoden der Untersuchung von Extremalproblemen der Theorie der besten Approximation. (Russian) Zbl 0366.41011
A property of Chebyshev polynomials. (English) Zbl 0364.41016
MSC:
41A50
Ordnung der besten Hausdorffschen Approximation für eine Klasse von analytischen Funktionen. (Russian) Zbl 0342.41021
Best approximation of functions by polynomials with positive coefficients in the Hausdorff metric. (English) Zbl 0342.41020
Über die Approximation von Funktionen der Klasse Lip \(\alpha\) in bezug auf die Hausdorffsche Metrik. (Russian) Zbl 0338.41024
Tafeln der Koeffizienten von Polynomen bester Approximation. (Russian) Zbl 0337.65009
Metody Vycisl., Leningrad 9, 7-15 (1974).
Allgemeine Abschätzungen der besten Approximation einer Funktion vermittels eines endlichen Systems von Funktionen im Raume \(L^p_\mu\). (Russian) Zbl 0335.41013
Addendum to “Converse theorems and extensions in Chebyshev rational approximation to certain entire functions in \([0,+\infty)\)”. (English) Zbl 0327.41011
On the modules of continuity of an operator of best approximation. (English. Russian original) Zbl 0325.41026
Math. Notes 15, 478-484 (1974); translation from Mat. Zametki 15, 797-808 (1974).
Best approximation by rational functions. (English) Zbl 0323.65005
Proc. 3rd Manitoba Conf. numer. Math., Winnipeg 1973, 3-29 (1974).
Biorthogonalsysteme rationaler Funktionen und die beste Approximation des Cauchy-Kerns auf der reellen Achse. (Russian) Zbl 0318.41020
On comparison theorems for generalized moduli of continuity. (English) Zbl 0317.42002
Linear Operators Approx. II, Proc. Conf. Oberwolfach 1974, ISNS 25, 105-111 (1974).
Über die Approximation von Funktionen auf Mengen, die aus einer endlichen Anzahl von Punkten bestehen. (Russian) Zbl 0317.41023
Teor. Priblizen. Funkcii Prilozen., 69-80 (1974).
MSC:
41A50
An algorithm for non-linear Chebyshev approximation. (English) Zbl 0315.65004
Math. Colloq., Univ. Cape Town 9, 101-109 (1974).
Einige Verallgemeinerungen des Problems der Konstruktion eines optimalen Algorithmus zur Ermittlung des Extremums von Funktionen. (Russian) Zbl 0314.90085
Über ein Kontrollproblem in der Wärmeleitung. (German) Zbl 0313.65088
Numer. Meth. Optimierungsaufg., Band 2, Tagung Oberwolfach 1973, ISNM 23, 85-100 (1974).
Einige Eigenschaften der besten Approximation abstrakter Funktionen durch Polynome spezieller Gestalt. (Russian) Zbl 0313.41010
Teor. Priblizen. Funkcii Prilozen., 129-134 (1974).
Über die besten gleichmäßigen Approximationen einiger Klassen quellenweise auf der reellen Achse darstellbarer Funktionen durch ganze Funktionen. (Russian) Zbl 0312.41009
Teor. Priblizen. Funkcii Prilozen., 23-40 (1974).
Splines. (German) Zbl 0311.41006
Überblicke Math. 7, 115-165 (1974).
Eine Verallgemeinerung des Remez-Algorithmus für lineare Simultanapproximation. (German) Zbl 0309.41028
On the closedness of the linear image of a set, with applications to generalized spline functions. (English) Zbl 0309.41013
Über die beste Approximation auf Klassen periodischer Funktionen, die durch Integrale von einer Linearkombination absoluter monotoner Kerne bestimmt werden. (Russian) Zbl 0308.42001
Estimation of the rate of approximation of a continuous function and its conjugate by Fourier sums on a set of full measure. (Russian) Zbl 0307.42002
Padé approximate as limits of rational functions of best approximation, real domain. (English) Zbl 0306.41010
Über die gleichmäßige Approximation auf kompakten Untermengen der reellen Geraden. (Russian) Zbl 0306.41004
On the construction, for the functions \(si\;x\) and \(\Phi(x)=(2/\sqrt{\pi})\int^x_0e^{-t^2}dt\), of polynomials which approximate them almost as well as the best approximations. (Russian) Zbl 0306.41002
Probleme der Approximation von Funktionen - Relaxationsmethode für höhere Grade. (Romanian) Zbl 0305.65007
Simultaneous approximation of compact sets by elements of convex sets in normed linear spaces. (English) Zbl 0305.41018
Der Operator der besten Approximation auf endlichdimensionalen Unterräumen. (Russian) Zbl 0305.41016
On uniqueness of the polynomial of best approximation of the function cos(kx) by trigonometric polynomials in the L metric. (English) Zbl 0304.42001
Some sharp inequalities for uniform best approximations of periodic functions. (English. Russian original) Zbl 0303.41028
Sov. Math., Dokl. 15, 335-337 (1974); translation from Dokl. Akad. Nauk SSSR 214, 1245-1246 (1974).
Analytical solution of a problem of the theory of best approximation connected with the optimal synthesis of electric filters. (Russian) Zbl 0303.41027
MSC:
41A50
Besonderheiten der Fundamentalsätze der konstruktiven Funktionentheorie mehrerer Variablen im Fall der Approximation mittels eines ’Winkels’. (Russian) Zbl 0303.41016
Asymptotically optimal linear approximation processes and a conjecture of Golomb. (English) Zbl 0303.41015
Linear Operators Approx. II, Proc. Conf. Oberwolfach 1974, ISNM 25, 327-335 (1974).
An analog for the disk of Zolotarev’s problem. (English. Russian original) Zbl 0302.41013
Sov. Math., Dokl. 15, 882-885 (1974); translation from Dokl. Akad. Nauk SSSR 216, 740-743 (1974).
On unimprovable results concerning strong approximation of Fourier series. (English) Zbl 0299.42003
Linear Operators Approx. II, Proc. Conf. Oberwolfach 1974, ISNM 25, 259-262 (1974).
Heredity in metric projections. (English) Zbl 0299.41019
Functional Analysis Appl., internat. Conf., Madras 1973, Lect. Notes Math. 399, 258-271 (1974).
Über die Konstruktion positiv definiter Matrizen, die einer gegebenen am nächsten sind. (Russian) Zbl 0299.41018
The Chebyshev polynomials. (English) Zbl 0299.41015
Pure and Applied Mathematics. New York etc.: John Wiley & Sons, a Wiley- Interscience Publication. VI, 186 p. £8.60 (1974).
Existence questions for the problem of Chebyshev approximation by interpolating rationals. (English) Zbl 0298.41009
Interpolation polynomials which give best order of approximation among continuously differentiable functions of arbitrary fixed order on \([-1, +1]\). (English) Zbl 0297.41003
Über die Eindeutigkeit des Polynoms der besten Annäherung der Funktion cos kx durch trigonometrische Polynome in der Metrik. (Russian) Zbl 0296.42003
Tschebyscheff-Approximation mit nichtlinearen Spline-Funktionen. (German) Zbl 0296.41019
Spline-Funktionen, Vortr. und Aufs. Tagung Oberwolfach 1973, 303-313 (1974).
Instances of generalized splines. (English) Zbl 0296.41011
Spline-Funktionen, Vortr. und Aufs. Tagung Oberwolfach 1973, 215-241 (1974).
An algorithm for computing best uniform approximations for spline functions with free knots. (English) Zbl 0295.65011
Spline-Funktionen, Vortr. und Aufs. Tagung Oberwolfach 1973, 149-154 (1974).
The conditional Chebyshev center of a compact set of continuous functions. (English) Zbl 0295.41015
MSC:
41A50
Über die Eigenwertaufgabe bei diskreter rationaler Tschebyscheff- Approximation. (German) Zbl 0294.65006
Numer. Beh. Eigenwertaufg., Tagung Oberwolfach 1972, ISNM 24, 57-62 (1974).
Characterization of best approximation in certain classes of normed spaces. (English) Zbl 0294.41027
A conjecture of M. Golomb on optimal and nearly-optimal linear approximation. (English) Zbl 0294.41019
Stetigkeitsmoduli und beste Approximation durch polynomiale Splines. (German) Zbl 0294.41017
Spline-Funktionen, Vortr. und Aufs. Tagung Oberwolfach 1973, 289-302 (1974).
Non-convexity in best complex Chebyshev approximation by rational functions. (English) Zbl 0294.30035
An application of approximation theory to an error estimate in linear algebra. (English) Zbl 0293.65019
A generalized Polya algorithm. (English) Zbl 0293.65008
Approximation of analytic functions in Hausdorff metric. (English) Zbl 0293.41006
Functional Analysis Appl., internat. Conf., Madras 1973, Lect. Notes Math. 399, 490-500 (1974).
Isotone optimization. II. (English) Zbl 0292.41026
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