Frank Deutsch - Author Profile

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Deutsch, Frank

Author ID:	deutsch.frank
Published as:	Deutsch, Frank; Deutsch, F.; Deutsch, F. R. more...less
Homepage:	http://www.math.psu.edu/deutsch/
External Links:	MGP · Wikidata · ResearchGate · GND · IdRef

Documents Indexed:	99 Publications since 1966, including 3 Books
	1 Contribution as Editor
Co-Authors:	40 Co-Authors with 70 Joint Publications
	785 Co-Co-Authors

all top 5

Co-Authors

30	single-authored
18	Hundal, Hein S.
11	Brosowski, Bruno
9	Morris, Peter D.
8	Li, Wu
5	Ward, Joseph Dinneen
4	Bauschke, Heinz H.
4	Park, Sung Ho
4	Singer, Ivan
3	Amir, Dan
3	Kenderov, Petar Stojanov
3	Lambert, Joseph M.
3	Nürnberger, Günther
3	Olson, John E.
3	Ubhaya, Vasant A.
2	Ault, David A.
2	Chui, Charles Kam-tai
2	Indumathi, V.
2	Mabizela, Sizwe
2	Xu, Yuesheng
2	Zikatanov, Ludmil T.
1	Bakan, Andrew G.
1	Biggs, J. H.
1	Brown, Aldric L.
1	Burke, James V.
1	Huff, Robert E.
1	Lapidot, Eitan
1	Lindahl, Robert J.
1	Mach, Jaroslav
1	Maserick, Peter Harrington
1	McCabe, John H.
1	Phillips, George M.
1	Pollul, Walter
1	Saatkamp, Klaus
1	Schnatz, Klaus Georg
1	Schumaker, Larry L.
1	Swetits, John J.
1	Vanderwerff, Jon D.
1	Yamada, Isao
1	Zhong, Jun
1	Ziegler, Zvi

all top 5

Serials

32	Journal of Approximation Theory
4	Numerical Functional Analysis and Optimization
3	Proceedings of the American Mathematical Society
3	Transactions of the American Mathematical Society
2	Journal of Mathematical Analysis and Applications
2	Mathematische Annalen
2	Constructive Approximation
2	Bulletin of the American Mathematical Society
1	Duke Mathematical Journal
1	Journal of Functional Analysis
1	Journal of Optimization Theory and Applications
1	Pacific Journal of Mathematics
1	SIAM Journal on Numerical Analysis
1	SIAM Journal on Applied Mathematics
1	SIAM Journal on Mathematical Analysis
1	SIAM Review
1	Mathematical Programming. Series A. Series B
1	SIAM Journal on Optimization
1	Set-Valued Analysis
1	Annals of Numerical Mathematics
1	International Transactions in Operational Research
1	ISNM. International Series of Numerical Mathematics
1	CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC
1	Applied Analysis and Optimization

all top 5

Fields

82	Approximations and expansions (41-XX)
25	Functional analysis (46-XX)
12	Operator theory (47-XX)
9	Numerical analysis (65-XX)
9	Operations research, mathematical programming (90-XX)
4	Calculus of variations and optimal control; optimization (49-XX)
4	Convex and discrete geometry (52-XX)
2	Sequences, series, summability (40-XX)
2	General topology (54-XX)
1	General and overarching topics; collections (00-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

86 Publications have been cited 1,617 times in 1,095 Documents	Cited by ▼	Year ▼
Best approximation in inner product spaces. Zbl 0980.41025 Deutsch, Frank	245	2001
Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings. Zbl 0913.47048 Deutsch, Frank; Yamada, Isao	121	1998
The angle between subspaces of a Hilbert space. Zbl 0848.46010 Deutsch, Frank	107	1995
Applications of the Hahn-Banach theorem in approximation theory. Zbl 0166.10501 Deutsch, F. R.; Maserick, P. H.	55	1967
The method of alternating orthogonal projections. Zbl 0751.41031 Deutsch, Frank	52	1992
The rate of convergence of Dykstra’s cyclic projections algorithm: The polyhedral case. Zbl 0807.41019 Deutsch, Frank; Hundal, Hein	49	1994
Accelerating the convergence of the method of alternating projections. Zbl 1033.41019 Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein; Park, Sung-Ho	42	2003
Continuous selections and approximate selection for set-valued mappings and applications to metric projections. Zbl 0518.41031 Deutsch, Frank; Kenderov, Petar	41	1983
Rate of convergence of the method of alternating projections. Zbl 0575.65049 Deutsch, Frank	39	1985
The rate of convergence for the method of alternating projections. II. Zbl 0890.65053 Deutsch, Frank; Hundal, Hein	37	1997
Constrained best approximation in Hilbert space. Zbl 0682.41034 Chui, Charles K.; Deutsch, Frank; Ward, Joseph D.	34	1990
Strong CHIP, normality, and linear regularity of convex sets. Zbl 1094.90030 Bakan, Andrew; Deutsch, Frank; Li, Wu	33	2005
A dual approach to constrained interpolation from a convex subset of Hilbert space. Zbl 0884.41019 Deutsch, Frank; Li, Wu; Ward, Joseph D.	32	1997
Best approximation from the intersection of a closed convex set and a polyhedron in Hilbert space, weak Slater conditions, and the strong conical hull intersection property. Zbl 0957.41025 Deutsch, Frank; Li, Wu; Ward, Joseph D.	31	1999
On some geometric properties of suns. Zbl 0272.41020 Brosowski, Bruno; Deutsch, Frank	31	1974
Suns, moons, and quasi-polyhedra. Zbl 0238.41014 Amir, Dan; Deutsch, Frank	30	1972
A new proximal point iteration that converges weakly but not in norm. Zbl 1071.65082 Bauschke, H. H.; Burke, J. V.; Deutsch, F. R.; Hundal, H. S.; Vanderwerff, J. D.	28	2005
Characterizing arbitrarily slow convergence in the method of alternating projections. Zbl 1208.47079 Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein	28	2009
Simultaneous interpolation and approximation in topological linear spaces. Zbl 0173.06301 Deutsch, F.	24	1966
A survey of metric selections. Zbl 0518.41030 Deutsch, Frank	24	1983
Interpolating subspaces in approximation theory. Zbl 0193.09103 Ault, D. A.; Deutsch, F. R.; Morris, P. D.; Olson, J. E.	23	1970
Constrained best approximation in Hilbert space. II. Zbl 0796.41026 Chui, Charles K.; Deutsch, Frank; Ward, Joseph D.	22	1992
Existence of best approximations. Zbl 0464.41016 Deutsch, Frank	22	1980
Fenchel duality and the strong conical hull intersection property. Zbl 0955.90148 Deutsch, F.; Li, W.; Swetits, J.	21	1999
The rate of convergence for the cyclic projections algorithm. III: Regularity of convex sets. Zbl 1171.90008 Deutsch, Frank; Hundal, Hein	20	2008
The rate of convergence for the cyclic projections algorithm. I: Angles between convex sets. Zbl 1109.41016 Deutsch, Frank; Hundal, Hein	19	2006
Weak Chebyshev subspaces and alternation. Zbl 0454.41030 Deutsch, Frank; Nürenberger, Günther; Singer, Ivan	17	1980
On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps. Zbl 0267.41013 Deutsch, Frank; Pollul, Walter; Singer, Ivan	17	1973
On uniform approximation with interpolatory constraints. Zbl 0174.35501 Deutsch, F.	16	1968
Slow convergence of sequences of linear operators. II: Arbitrarily slow convergence. Zbl 1208.41013 Deutsch, Frank; Hundal, Hein	16	2010
The role of the strong conical hull intersection property in convex optimization and approximation. Zbl 0929.49009 Deutsch, Frank	15	1998
Radial continuity of set-valued metric projections. Zbl 0283.41014 Brosowski, Bruno; Deutsch, Frank	15	1974
Lower semicontinuity, almost lower semicontinuity, and continuous selections for set-valued mappings. Zbl 0653.41029 Deutsch, Frank; Indumathi, V.; Schnatz, Klaus	15	1988
Linear selections for the metric projection. Zbl 0522.41027 Deutsch, Frank	14	1982
The rate of convergence for the cyclic projections algorithm. II: Norms of nonlinear operators. Zbl 1109.41017 Deutsch, Frank; Hundal, Hein	13	2006
On continuity of metric projections. Zbl 0514.41034 Deutsch, Frank; Lambert, Joseph M.	13	1980
Approximation by certain subspaces in the Banach space of continuous vector-valued functions. Zbl 0426.41027 Amir, Dan; Deutsch, Frank	12	1979
Characterizations of continuous and Lipschitz continuous metric selections in normed linear spaces. Zbl 0701.41045 Deutsch, Frank; Li, Wu; Park, Sung-Ho	12	1989
Two generalizations of Dykstra’s cyclic projections algorithm. Zbl 0891.90164 Hundal, Hein; Deutsch, Frank	12	1997
On simultaneous approximation and interpolation which preserves the norm. Zbl 0186.18702 Deutsch, F.; Morris, P. D.	12	1969
An elementary proof of the Stone-Weierstrass theorem. Zbl 0482.46014 Brosowski, Bruno; Deutsch, Frank	12	1981
Parametric approximation. Zbl 0483.41033 Brosowski, Bruno; Deutsch, Frank; Nürnberger, Günther	12	1980
The alternating method of von Neumann. Zbl 0431.41046 Deutsch, Frank	11	1979
Some new continuity concepts for metric projections. Zbl 0255.41029 Brosowski, Bruno; Deutsch, Frank	11	1972
Constrained best approximation in Hilbert space III. Applications of \(n\)-convex functions. Zbl 0995.41500 Deutsch, F.; Ubhaya, V. A.; Ward, J. D.; Xu, Yuesheng	9	1996
Accelerating the convergence of the method of alternating projections via a line search: A brief survey. Zbl 0991.65048 Deutsch, F.	8	2001
On single-valuedness of convex set-valued maps. Zbl 0807.46011 Deutsch, Frank; Singer, Ivan	8	1993
The convexity of Chebyshev sets in Hilbert space. Zbl 0859.41027 Deutsch, Frank	7	1993
On a problem of T. J. Rivlin in approximation theory. Zbl 0193.09201 Deutsch, Frank; Morris, Peter D.; Singer, Ivan	7	1969
An exposition of recent results on continuous metric selections. Zbl 0637.41035 Deutsch, Frank	7	1987
Slow convergence of sequences of linear operators. I: Almost arbitrarily slow convergence. Zbl 1205.41026 Deutsch, Frank; Hundal, Hein	7	2010
Arbitrarily slow convergence of sequences of linear operators. Zbl 1323.41033 Deutsch, Frank; Hundal, Hein	6	2015
Chebychev sets which are not suns. Zbl 0278.41030 Brosowski, B.; Deutsch, F.; Lambert, J.; Morris, P. D.	6	1974
Some algorithms for computing best approximations from convex cones. Zbl 0327.41025 Deutsch, Frank; McCabe, John H.; Phillips, George M.	6	1975
Lower semicontinuity concepts, continuous selections, and set valued metric projections. Zbl 1001.41021 Brown, A. L.; Deutsch, Frank; Indumathi, V.; Kenderov, Petar S.	6	2002
Approximation by finite rank operators. Zbl 0521.41017 Deutsch, Frank; Mach, Jaroslav; Saatkamp, Klaus	6	1981
Minimal extremal subsets of the unit sphere. Zbl 0223.46020 Deutsch, Frank; Lindahl, Robert J.	6	1972
Best approximation in the space of continuous vector-valued functions. Zbl 0645.41027 Deutsch, Frank	6	1988
Arbitrarily slow convergence of sequences of linear operators: a survey. Zbl 1251.47017 Deutsch, Frank; Hundal, Hein	6	2011
Dual cones, constrained \(n\)-convex, \(L_ p\)-approximation, and perfect splines. Zbl 0824.41020 Deutsch, Frank; Ubhaya, Vasant A.; Xu, Yuesheng	4	1995
Representers of linear functionals, norm-attaining functionals, and best approximation by cones and linear varieties in inner product spaces. Zbl 0501.41022 Deutsch, Frank	4	1982
Strong uniqueness, Lipschitz continuity, and continuous selections for metric projections in \(L_1\). Zbl 0737.41035 Deutsch, Frank; Li, Wu	4	1991
On simultaneous approximation and interpolation which preserves the norm. Zbl 0175.42102 Deutsch, F.; Morris, P. D.	4	1969
On some geometrical properties of suns. Zbl 0231.46041 Brosowski, Bruno; Deutsch, Frank	4	1972
A general existence theorem for best approximations. Zbl 0436.41024 Deutsch, Frank	3	1979
Another approximation theoretic characterization of inner product spaces. Zbl 0384.46007 Amir, Dan; Deutsch, Frank	3	1978
Weakly interpolating subspaces. Zbl 0531.41002 Deutsch, Frank; Nürnberger, Günther	3	1983
When does the metric projection admit a linear selection? Zbl 0553.41039 Deutsch, Frank	3	1983
Continuous selections for metric projections: some recent progress. Zbl 0613.41032 Deutsch, Frank	3	1986
Characterizing best isotone approximations in \(L_p\) spaces, \(1 \leq p < \infty\). Zbl 1358.41028 Deutsch, Frank; Ubhaya, Vasant	2	2016
A generalization of Tyuriemskih’s lethargy theorem and some applications. Zbl 1279.41023 Deutsch, Frank; Hundal, Hein	2	2013
Parametric optimization and approximation. Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, October 16-22, 1983. Zbl 0547.00044	2	1985
Von Neumann’s alternating method: The rate of convergence. Zbl 0544.41029 Deutsch, Frank	2	1983
On some geometric properties of the unit sphere. Zbl 0253.46030 Deutsch, Frank	2	1972
Simultaneous approximation and interpolation with preservation of norm. Zbl 0225.41009 Deutsch, F.; Morris, P. D.	2	1970
Fejér monotonicity and weak convergence of an accelerated method of projections. Zbl 1016.65032 Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein; Park, Sung-Ho	2	2000
When does the metric projection admit a continuous selection? Zbl 0482.41029 Deutsch, Frank; Kenderov, Petar	2	1980
Some suns in \(L_1\). Zbl 0325.41023 Brosowski, B.; Deutsch, F.; Lambert, J.; Morris, P. D.	2	1976
Constrained best approximation. Zbl 0705.41026 Deutsch, Frank	1	1989
Dykstra’s cyclic projections algorithm: The rate of convergence. Zbl 0871.41023 Deutsch, Frank	1	1995
Interpolation from a convex subset of Hilbert space: A survey of some recent results. Zbl 0846.41027 Deutsch, Frank	1	1995
Best comonotone approximation. Zbl 0807.41015 Deutsch, Frank; Zhong, Jun	1	1994
Tietze extensions and continuous selections for metric projections. Zbl 0731.41034 Deutsch, Frank; Li, Wu; Park, Sung-Ho	1	1991
Cardinality of extreme points of the unit sphere with applications to nonexistence theorems in approximation theory. Zbl 0332.41022 Deutsch, Frank	1	1973
Radial continuity of set-valued metric projections. Zbl 0231.46042 Brosowski, Bruno; Deutsch, Frank	1	1972
Selections for metric projections. Zbl 0751.41030 Deutsch, Frank	1	1992
Characterizing best isotone approximations in \(L_p\) spaces, \(1 \leq p < \infty\). Zbl 1358.41028 Deutsch, Frank; Ubhaya, Vasant	2	2016
Arbitrarily slow convergence of sequences of linear operators. Zbl 1323.41033 Deutsch, Frank; Hundal, Hein	6	2015
A generalization of Tyuriemskih’s lethargy theorem and some applications. Zbl 1279.41023 Deutsch, Frank; Hundal, Hein	2	2013
Arbitrarily slow convergence of sequences of linear operators: a survey. Zbl 1251.47017 Deutsch, Frank; Hundal, Hein	6	2011
Slow convergence of sequences of linear operators. II: Arbitrarily slow convergence. Zbl 1208.41013 Deutsch, Frank; Hundal, Hein	16	2010
Slow convergence of sequences of linear operators. I: Almost arbitrarily slow convergence. Zbl 1205.41026 Deutsch, Frank; Hundal, Hein	7	2010
Characterizing arbitrarily slow convergence in the method of alternating projections. Zbl 1208.47079 Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein	28	2009
The rate of convergence for the cyclic projections algorithm. III: Regularity of convex sets. Zbl 1171.90008 Deutsch, Frank; Hundal, Hein	20	2008
The rate of convergence for the cyclic projections algorithm. I: Angles between convex sets. Zbl 1109.41016 Deutsch, Frank; Hundal, Hein	19	2006
The rate of convergence for the cyclic projections algorithm. II: Norms of nonlinear operators. Zbl 1109.41017 Deutsch, Frank; Hundal, Hein	13	2006
Strong CHIP, normality, and linear regularity of convex sets. Zbl 1094.90030 Bakan, Andrew; Deutsch, Frank; Li, Wu	33	2005
A new proximal point iteration that converges weakly but not in norm. Zbl 1071.65082 Bauschke, H. H.; Burke, J. V.; Deutsch, F. R.; Hundal, H. S.; Vanderwerff, J. D.	28	2005
Accelerating the convergence of the method of alternating projections. Zbl 1033.41019 Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein; Park, Sung-Ho	42	2003
Lower semicontinuity concepts, continuous selections, and set valued metric projections. Zbl 1001.41021 Brown, A. L.; Deutsch, Frank; Indumathi, V.; Kenderov, Petar S.	6	2002
Best approximation in inner product spaces. Zbl 0980.41025 Deutsch, Frank	245	2001
Accelerating the convergence of the method of alternating projections via a line search: A brief survey. Zbl 0991.65048 Deutsch, F.	8	2001
Fejér monotonicity and weak convergence of an accelerated method of projections. Zbl 1016.65032 Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein; Park, Sung-Ho	2	2000
Best approximation from the intersection of a closed convex set and a polyhedron in Hilbert space, weak Slater conditions, and the strong conical hull intersection property. Zbl 0957.41025 Deutsch, Frank; Li, Wu; Ward, Joseph D.	31	1999
Fenchel duality and the strong conical hull intersection property. Zbl 0955.90148 Deutsch, F.; Li, W.; Swetits, J.	21	1999
Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings. Zbl 0913.47048 Deutsch, Frank; Yamada, Isao	121	1998
The role of the strong conical hull intersection property in convex optimization and approximation. Zbl 0929.49009 Deutsch, Frank	15	1998
The rate of convergence for the method of alternating projections. II. Zbl 0890.65053 Deutsch, Frank; Hundal, Hein	37	1997
A dual approach to constrained interpolation from a convex subset of Hilbert space. Zbl 0884.41019 Deutsch, Frank; Li, Wu; Ward, Joseph D.	32	1997
Two generalizations of Dykstra’s cyclic projections algorithm. Zbl 0891.90164 Hundal, Hein; Deutsch, Frank	12	1997
Constrained best approximation in Hilbert space III. Applications of \(n\)-convex functions. Zbl 0995.41500 Deutsch, F.; Ubhaya, V. A.; Ward, J. D.; Xu, Yuesheng	9	1996
The angle between subspaces of a Hilbert space. Zbl 0848.46010 Deutsch, Frank	107	1995
Dual cones, constrained \(n\)-convex, \(L_ p\)-approximation, and perfect splines. Zbl 0824.41020 Deutsch, Frank; Ubhaya, Vasant A.; Xu, Yuesheng	4	1995
Dykstra’s cyclic projections algorithm: The rate of convergence. Zbl 0871.41023 Deutsch, Frank	1	1995
Interpolation from a convex subset of Hilbert space: A survey of some recent results. Zbl 0846.41027 Deutsch, Frank	1	1995
The rate of convergence of Dykstra’s cyclic projections algorithm: The polyhedral case. Zbl 0807.41019 Deutsch, Frank; Hundal, Hein	49	1994
Best comonotone approximation. Zbl 0807.41015 Deutsch, Frank; Zhong, Jun	1	1994
On single-valuedness of convex set-valued maps. Zbl 0807.46011 Deutsch, Frank; Singer, Ivan	8	1993
The convexity of Chebyshev sets in Hilbert space. Zbl 0859.41027 Deutsch, Frank	7	1993
The method of alternating orthogonal projections. Zbl 0751.41031 Deutsch, Frank	52	1992
Constrained best approximation in Hilbert space. II. Zbl 0796.41026 Chui, Charles K.; Deutsch, Frank; Ward, Joseph D.	22	1992
Selections for metric projections. Zbl 0751.41030 Deutsch, Frank	1	1992
Strong uniqueness, Lipschitz continuity, and continuous selections for metric projections in \(L_1\). Zbl 0737.41035 Deutsch, Frank; Li, Wu	4	1991
Tietze extensions and continuous selections for metric projections. Zbl 0731.41034 Deutsch, Frank; Li, Wu; Park, Sung-Ho	1	1991
Constrained best approximation in Hilbert space. Zbl 0682.41034 Chui, Charles K.; Deutsch, Frank; Ward, Joseph D.	34	1990
Characterizations of continuous and Lipschitz continuous metric selections in normed linear spaces. Zbl 0701.41045 Deutsch, Frank; Li, Wu; Park, Sung-Ho	12	1989
Constrained best approximation. Zbl 0705.41026 Deutsch, Frank	1	1989
Lower semicontinuity, almost lower semicontinuity, and continuous selections for set-valued mappings. Zbl 0653.41029 Deutsch, Frank; Indumathi, V.; Schnatz, Klaus	15	1988
Best approximation in the space of continuous vector-valued functions. Zbl 0645.41027 Deutsch, Frank	6	1988
An exposition of recent results on continuous metric selections. Zbl 0637.41035 Deutsch, Frank	7	1987
Continuous selections for metric projections: some recent progress. Zbl 0613.41032 Deutsch, Frank	3	1986
Rate of convergence of the method of alternating projections. Zbl 0575.65049 Deutsch, Frank	39	1985
Parametric optimization and approximation. Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, October 16-22, 1983. Zbl 0547.00044	2	1985
Continuous selections and approximate selection for set-valued mappings and applications to metric projections. Zbl 0518.41031 Deutsch, Frank; Kenderov, Petar	41	1983
A survey of metric selections. Zbl 0518.41030 Deutsch, Frank	24	1983
Weakly interpolating subspaces. Zbl 0531.41002 Deutsch, Frank; Nürnberger, Günther	3	1983
When does the metric projection admit a linear selection? Zbl 0553.41039 Deutsch, Frank	3	1983
Von Neumann’s alternating method: The rate of convergence. Zbl 0544.41029 Deutsch, Frank	2	1983
Linear selections for the metric projection. Zbl 0522.41027 Deutsch, Frank	14	1982
Representers of linear functionals, norm-attaining functionals, and best approximation by cones and linear varieties in inner product spaces. Zbl 0501.41022 Deutsch, Frank	4	1982
An elementary proof of the Stone-Weierstrass theorem. Zbl 0482.46014 Brosowski, Bruno; Deutsch, Frank	12	1981
Approximation by finite rank operators. Zbl 0521.41017 Deutsch, Frank; Mach, Jaroslav; Saatkamp, Klaus	6	1981
Existence of best approximations. Zbl 0464.41016 Deutsch, Frank	22	1980
Weak Chebyshev subspaces and alternation. Zbl 0454.41030 Deutsch, Frank; Nürenberger, Günther; Singer, Ivan	17	1980
On continuity of metric projections. Zbl 0514.41034 Deutsch, Frank; Lambert, Joseph M.	13	1980
Parametric approximation. Zbl 0483.41033 Brosowski, Bruno; Deutsch, Frank; Nürnberger, Günther	12	1980
When does the metric projection admit a continuous selection? Zbl 0482.41029 Deutsch, Frank; Kenderov, Petar	2	1980
Approximation by certain subspaces in the Banach space of continuous vector-valued functions. Zbl 0426.41027 Amir, Dan; Deutsch, Frank	12	1979
The alternating method of von Neumann. Zbl 0431.41046 Deutsch, Frank	11	1979
A general existence theorem for best approximations. Zbl 0436.41024 Deutsch, Frank	3	1979
Another approximation theoretic characterization of inner product spaces. Zbl 0384.46007 Amir, Dan; Deutsch, Frank	3	1978
Some suns in \(L_1\). Zbl 0325.41023 Brosowski, B.; Deutsch, F.; Lambert, J.; Morris, P. D.	2	1976
Some algorithms for computing best approximations from convex cones. Zbl 0327.41025 Deutsch, Frank; McCabe, John H.; Phillips, George M.	6	1975
On some geometric properties of suns. Zbl 0272.41020 Brosowski, Bruno; Deutsch, Frank	31	1974
Radial continuity of set-valued metric projections. Zbl 0283.41014 Brosowski, Bruno; Deutsch, Frank	15	1974
Chebychev sets which are not suns. Zbl 0278.41030 Brosowski, B.; Deutsch, F.; Lambert, J.; Morris, P. D.	6	1974
On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps. Zbl 0267.41013 Deutsch, Frank; Pollul, Walter; Singer, Ivan	17	1973
Cardinality of extreme points of the unit sphere with applications to nonexistence theorems in approximation theory. Zbl 0332.41022 Deutsch, Frank	1	1973
Suns, moons, and quasi-polyhedra. Zbl 0238.41014 Amir, Dan; Deutsch, Frank	30	1972
Some new continuity concepts for metric projections. Zbl 0255.41029 Brosowski, Bruno; Deutsch, Frank	11	1972
Minimal extremal subsets of the unit sphere. Zbl 0223.46020 Deutsch, Frank; Lindahl, Robert J.	6	1972
On some geometrical properties of suns. Zbl 0231.46041 Brosowski, Bruno; Deutsch, Frank	4	1972
On some geometric properties of the unit sphere. Zbl 0253.46030 Deutsch, Frank	2	1972
Radial continuity of set-valued metric projections. Zbl 0231.46042 Brosowski, Bruno; Deutsch, Frank	1	1972
Interpolating subspaces in approximation theory. Zbl 0193.09103 Ault, D. A.; Deutsch, F. R.; Morris, P. D.; Olson, J. E.	23	1970
Simultaneous approximation and interpolation with preservation of norm. Zbl 0225.41009 Deutsch, F.; Morris, P. D.	2	1970
On simultaneous approximation and interpolation which preserves the norm. Zbl 0186.18702 Deutsch, F.; Morris, P. D.	12	1969
On a problem of T. J. Rivlin in approximation theory. Zbl 0193.09201 Deutsch, Frank; Morris, Peter D.; Singer, Ivan	7	1969
On simultaneous approximation and interpolation which preserves the norm. Zbl 0175.42102 Deutsch, F.; Morris, P. D.	4	1969
On uniform approximation with interpolatory constraints. Zbl 0174.35501 Deutsch, F.	16	1968
Applications of the Hahn-Banach theorem in approximation theory. Zbl 0166.10501 Deutsch, F. R.; Maserick, P. H.	55	1967
Simultaneous interpolation and approximation in topological linear spaces. Zbl 0173.06301 Deutsch, F.	24	1966

all cited Publications top 5 cited Publications

all top 5

Cited by 1,142 Authors

45	Deutsch, Frank
37	Bauschke, Heinz H.
23	Reich, Simeon
23	Yao, Jen-Chih
21	Kumam, Poom
21	Maestripieri, Alejandra L.
19	Corach, Gustavo
17	Li, Chong
16	Alimov, Alexey R.
16	Combettes, Patrick L.
16	Wang, Shawn Xianfu
15	Arias, M. Laura
15	Li, Wu
14	Hundal, Hein S.
14	Wangkeeree, Rabian
13	Nürnberger, Günther
12	Kruger, Alexander Y.
12	Luke, David Russell
12	Mohebi, Hossein
12	Qin, Xiaolong
12	Ubhaya, Vasant A.
11	Yao, Yonghong
11	Zalas, Rafał
10	Gonzalez, María Celeste
10	Jeyakumar, Vaithilingam
10	Stojanoff, Demetrio
10	Tsar’kov, Igor’ Germanovich
10	Xu, Hong-Kun
9	Ceng, Lu-Chuan
9	Censor, Yair
8	Wei, Zhou
8	Yamada, Isao
7	Beer, Gerald Alan
7	Borwein, Jonathan Michael
7	Brosowski, Bruno
7	Cegielski, Andrzej
7	Cho, Yeol Je
7	Martínez Pería, Francisco D.
7	Phan, Hung M.
7	Shunmugaraj, P.
7	Su, Yongfu
7	Sunthrayuth, Pongsakorn
7	Tam, Matthew K.
6	Bello Cruz, Jose Yunier
6	Cuong, Nguyen Duy
6	Gauthier, Paul M.
6	Indumathi, V.
6	Jaiboon, Chaichana
6	Kang, Shin Min
6	Kopecká, Eva
6	Lambert, Joseph M.
6	Liou, Yeongcheng
6	Marino, Giuseppe
6	Matsushita, Shin-Ya
6	Morris, Peter D.
6	Ng, Kung-Fu
6	Swetits, John J.
6	Thibault, Lionel
6	Wangkeeree, Rattanaporn
5	Antezana, Jorge
5	Colao, Vittorio
5	Jung, Jong Soo
5	Kamal, Aref K.
5	Luo, Xianfa
5	Necoara, Ion
5	Németh, Sándor Zoltán
5	Noor, Muhammad Aslam
5	Ouyang, Hui
5	Pang, Chin How Jeffrey
5	Park, Sung Ho
5	Raydan, Marcos
5	Ruiz, Mariano A.
5	Singer, Ivan
5	Smarzewski, Ryszard
5	Song, Wen
5	Takahashi, Wataru
5	Thao, Nguyen Hieu
5	Zaslavski, Alexander Yakovlevich
4	Amir, Dan
4	Baksalary, Oskar Maria
4	Bartelt, Martin W.
4	Behling, Roger
4	Borodin, Petr A.
4	Burke, Maxim R.
4	Campoy, Rubén
4	Crombez, Gilbert
4	Dang, Yazheng
4	Ferreira, Orizon Pereira
4	Fongi, Guillermina
4	Gibali, Aviv
4	Giribet, Juan Ignacio
4	Kashimoto, Márcia Sayuri
4	Lewicki, Grzegorz
4	Li, Guoyin
4	Light, William A.
4	López Acedo, Genaro
4	Massey, Pedro G.
4	Moursi, Walaa M.
4	Needell, Deanna
4	Ogura, Nobuhiko
...and 1,042 more Authors

all top 5

Cited in 229 Serials

191	Journal of Approximation Theory
82	Journal of Mathematical Analysis and Applications
46	Numerical Functional Analysis and Optimization
45	Linear Algebra and its Applications
36	Journal of Optimization Theory and Applications
30	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23	Optimization
22	Fixed Point Theory and Applications
21	Proceedings of the American Mathematical Society
19	SIAM Journal on Optimization
18	Journal of Computational and Applied Mathematics
17	Numerical Algorithms
17	Set-Valued and Variational Analysis
15	Mathematical Programming. Series A. Series B
14	Computational Optimization and Applications
14	Abstract and Applied Analysis
13	Mathematical Notes
11	Applied Mathematics and Computation
11	Optimization Letters
10	Journal of Convex Analysis
9	Computers & Mathematics with Applications
9	Numerische Mathematik
9	Journal of Global Optimization
8	Journal of Functional Analysis
8	Journal of Inequalities and Applications
6	Mathematische Annalen
6	Set-Valued Analysis
6	The Journal of Fourier Analysis and Applications
6	Journal of Applied Mathematics and Computing
6	Banach Journal of Mathematical Analysis
6	Nonlinear Analysis. Theory, Methods & Applications
5	Bulletin of the Australian Mathematical Society
5	Integral Equations and Operator Theory
5	Transactions of the American Mathematical Society
5	Journal of Applied Mathematics
4	Mathematics of Computation
4	Applied Mathematics and Optimization
4	Fuzzy Sets and Systems
4	International Journal of Mathematics and Mathematical Sciences
4	Constructive Approximation
4	Applied Mathematics Letters
4	SIAM Journal on Matrix Analysis and Applications
4	European Journal of Operational Research
4	SIAM Journal on Scientific Computing
4	Acta Mathematica Sinica. English Series
4	Journal of the Australian Mathematical Society
4	Journal of Fixed Point Theory and Applications
4	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3	Applicable Analysis
3	Linear and Multilinear Algebra
3	Automatica
3	Canadian Mathematical Bulletin
3	Kodai Mathematical Journal
3	Mathematics of Operations Research
3	Proceedings of the Edinburgh Mathematical Society. Series II
3	Rendiconti del Circolo Matemàtico di Palermo. Serie II
3	Topology and its Applications
3	Operations Research Letters
3	Mathematical and Computer Modelling
3	Computational Statistics and Data Analysis
3	Journal of Mathematical Imaging and Vision
3	The Journal of Analysis
3	Applied and Computational Harmonic Analysis
3	Vietnam Journal of Mathematics
3	Positivity
3	Foundations of Computational Mathematics
3	Nonlinear Analysis. Hybrid Systems
3	SIAM Journal on Imaging Sciences
3	Journal of Applied Analysis and Computation
2	Israel Journal of Mathematics
2	Journal of the Franklin Institute
2	Mathematical Proceedings of the Cambridge Philosophical Society
2	Moscow University Mathematics Bulletin
2	Rocky Mountain Journal of Mathematics
2	Russian Mathematical Surveys
2	Studia Mathematica
2	Advances in Mathematics
2	Annales de l’Institut Fourier
2	Annali di Matematica Pura ed Applicata. Serie Quarta
2	Archiv der Mathematik
2	Illinois Journal of Mathematics
2	Quaestiones Mathematicae
2	Results in Mathematics
2	Theoretical Computer Science
2	Acta Mathematica Hungarica
2	Bulletin of the Iranian Mathematical Society
2	Physica D
2	Acta Mathematicae Applicatae Sinica. English Series
2	The Journal of Geometric Analysis
2	Aequationes Mathematicae
2	Russian Journal of Mathematical Physics
2	Journal of Mathematical Sciences (New York)
2	Filomat
2	ETNA. Electronic Transactions on Numerical Analysis
2	Bernoulli
2	Sbornik: Mathematics
2	Optimization Methods & Software
2	Novi Sad Journal of Mathematics
2	Journal of Systems Science and Complexity
2	Applied Mathematics E-Notes
...and 129 more Serials

all top 5

Cited in 52 Fields

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

Citations by Year

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