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## Kroó, András

Compute Distance To:
 Author ID: kroo.andras Published as: Kroó, András; Kroó, A.; Kroo, A.; Kroo, Andras; Króo, A.; Kroò, A.
 Documents Indexed: 130 Publications since 1977
all top 5

#### Co-Authors

 71 single-authored 20 Szabados, Jozsef 7 Peherstorfer, Franz 5 Saff, Edward Barry 5 Schmidt, Darrell 4 Pinkus, Allan M. 3 Angelos, James R. 3 Swetits, John J. 2 Erdélyi, Tamás 2 Henry, Myron S. 2 Kaufman, Edwin H. jun. 2 Lenker, Terry D. 2 Lubinsky, Doron S. 2 Sommer, Manfred 2 Totik, Vilmos 1 Babenko, Yuliya 1 Bartelt, Martin W. 1 Benko, David 1 Benyamini, Yoav 1 Borwein, Peter Benjamin 1 De Marchi, Stefano 1 Erdős, Pál 1 Nevai, Paul G. 1 Pritsker, Igor E. 1 Révész, Szilárd György 1 Strauss, Hans 1 Varga, Richard Steven 1 Xu, Yuan 1 Yattselev, Maxim L.
all top 5

#### Serials

 30 Journal of Approximation Theory 12 Proceedings of the American Mathematical Society 10 Constructive Approximation 8 Acta Mathematica Academiae Scientiarum Hungaricae 8 Acta Mathematica Hungarica 7 Journal of Mathematical Analysis and Applications 7 East Journal on Approximations 6 Analysis Mathematica 5 Transactions of the American Mathematical Society 3 Acta Scientiarum Mathematicarum 3 Jaen Journal on Approximation 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Zeitschrift 2 Numerical Functional Analysis and Optimization 2 Annals of Numerical Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 SIAM Journal on Numerical Analysis 1 Studia Scientiarum Mathematicarum Hungarica 1 Analysis 1 SIAM Journal on Mathematical Analysis 1 ETNA. Electronic Transactions on Numerical Analysis 1 Surveys in Approximation Theory (SAT) 1 Bulletin of Mathematical Sciences 1 Dolomites Research Notes on Approximation
all top 5

#### Fields

 119 Approximations and expansions (41-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 7 Convex and discrete geometry (52-XX) 6 Functions of a complex variable (30-XX) 4 Real functions (26-XX) 4 Special functions (33-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX)

#### Citations contained in zbMATH Open

90 Publications have been cited 404 times in 213 Documents Cited by Year
On optimal polynomial meshes. Zbl 1229.65049
Kroó, András
2011
On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies. Zbl 0952.41012
Kroó, András; Révész, Szilárd
1999
Christoffel functions and universality in the bulk for multivariate orthogonal polynomials. Zbl 1267.42029
Kroó, A.; Lubinsky, D. S.
2013
The Lipschitz constant of the operator of best approximation. Zbl 0452.41022
Kroo, A.
1980
Differential properties of the operator of best approximation. Zbl 0398.41020
Kroo, A.
1978
The continuity of best approximations. Zbl 0372.41014
Kroo, A.
1977
On density of interpolation points, a Kadec-type theorem, and Saff’s principle of contamination in $$L_ p$$-approximation. Zbl 0763.41023
Kroó, A.; Swetits, J. J.
1992
On an $$L_ 1$$-approximation problem. Zbl 0569.41022
Kroó, András
1985
The density of extreme points in complex polynomial approximation. Zbl 0663.41027
Kroó, András; Saff, E. B.
1988
The density of alternation points in rational approximation. Zbl 0688.41018
Borwein, P. B.; Króo, A.; Grothmann, R.; Saff, E. B.
1989
Some extremal problems for multivariate polynomials on convex bodies. Zbl 0894.41013
Kroó, András; Schmidt, Darrell
1997
On approximation by ridge functions. Zbl 0895.41015
Kroó, A.
1997
A Weierstrass-type theorem for homogeneous polynomials. Zbl 1180.41005
Benko, David; Kroó, András
2009
On the continuity of best approximations in the space of integrable functions. Zbl 0405.41017
Kroo, A.
1978
On the exact constant in the $$L_2$$ Markov inequality. Zbl 1151.41008
Kroó, András
2008
Best L//1-approximation of vector valued functions. Zbl 0492.41050
Kroo, A.
1982
Markov-Bernstein type inequalities for multivariate polynomials on sets with cusps. Zbl 0953.41008
2000
Chebyshev rank in $$L_ 1$$-approximation. Zbl 0592.41037
Kroó, András
1986
A comparison of uniform and discrete polynomial approximation. Zbl 0426.41020
Kroo, A.
1979
Some theorems on unicity of multivariate $$L^ 1$$-approximation. Zbl 0527.41016
Kroo, A.
1982
On the asymptotic distribution of oscillation points in rational approximation. Zbl 0791.41018
Kroó, András; Peherstorfer, Franz
1993
Bernstein type inequalities on star-like domains in $$\mathbb{R}^d$$ with application to norming sets. Zbl 1284.41005
Kroó, András
2013
Christoffel functions and universality on the boundary of the ball. Zbl 1340.42064
Kroó, A.; Lubinsky, D. S.
2013
Best $$L_ 1$$-approximation with varying weights. Zbl 0621.41023
Kroó, András
1987
On the density of homogeneous polynomials on regular convex surfaces. Zbl 1199.41030
2009
Strong uniqueness. Zbl 1181.41003
Kroó, András; Pinkus, Allan
2010
On the uniform modulus of continuity of the operator of best approximation in the space of periodic functions. Zbl 0424.42003
Kroo, A.
1979
Interpolatory properties of best rational $$L_ 1$$-approximations. Zbl 0676.41018
Kroó, András; Peherstorfer, Franz
1988
A sharp version of Mahler’s inequality for products of polynomials. Zbl 0929.30005
Kroó, András; Pritsker, Igor E.
1999
Asymptotic representation of $$L_{p}$$-minimal polynomials, $$1 < p < \infty$$. Zbl 1103.41006
Kroo, Andras; Peherstorfer, Franz
2007
On the exact Markov inequality for $$k$$-monotone polynomials in uniform and $$L_1$$-norms. Zbl 1224.41044
2009
On Bernstein-Markov-type inequalities for multivariate polynomials in $$L_q$$-norm. Zbl 1175.41013
Kroó, András
2009
$$L^{1}$$-approximation and finding solutions with small support. Zbl 1262.41017
Benyamini, Y.; Kroó, A.; Pinkus, A.
2012
On Markov inequality for multivariate polynomials. Zbl 1075.41009
Kroó, András
2005
Asymptotic representation of weighted $$L_{\infty }$$- and $$L_{1}$$-minimal polynomials. Zbl 1160.33007
Kroó, András; Peherstorfer, Franz
2008
On convergent interpolatory polynomials. Zbl 0692.41004
Erdős, Paul; Kroò, A.; Szabados, J.
1989
Some theorems on best $$L_ 1$$-approximation of continuous functions. Zbl 0567.41028
Kroó, A.
1984
Interpolatory properties of best $$L_ 1$$-approximants. Zbl 0635.41004
Kroó, András; Peherstorfer, Franz
1987
On Remez-type inequalities for polynomials in $$\mathbb R^m$$ and $$\mathbb C^m$$. Zbl 0980.41010
Kroó, András
2001
Markov-type inequalities for homogeneous polynomials on smooth convex bodies. Zbl 1113.52025
Kroó, András
2003
Markov-type inequalities for surface gradients of multivariate polynomials. Zbl 1374.41057
Kroó, András
2002
New results and open problems in approximation of convex and star-like surfaces by algebraic level surfaces. Zbl 1183.41010
Kroó, András
2009
On the distribution of extremal points of general Chebyshev polynomials. Zbl 0752.41025
Kroó, András; Peherstorfer, Franz
1992
On certain orthogonal polynomials, Nikolski- and Turán-type inequalities, and interpolatory properties of best approximants. Zbl 0786.41024
Kroó, András
1993
A geometric approach to the multivariate Müntz problem. Zbl 0802.41008
Kroó, András
1994
Weighted polynomial approximation on the real line. Zbl 0885.41011
1995
On density of homogeneous polynomials on convex and star-like surfaces in $${\mathbb R}^d$$. Zbl 1141.41004
2005
On weighted approximation by lacunary polynomials and rational functions on the half-axis. Zbl 0860.41006
1996
On $$L_p$$ multiple orthogonal polynomials. Zbl 1311.42061
Kroó, András
2013
On the approximation of convex bodies by convex algebraic level surfaces. Zbl 1194.52005
Kroó, András
2010
On unicity of complex polynomial $$L_1$$-approximation along curves. Zbl 0516.30027
Kroo, A.
1982
On the unicity of best $$L_ 1$$-approximation by polynomials of several variables. Zbl 0549.41018
Kroó, A.
1983
Extremal properties of multivariate polynomials on sets with analytic parametrization. Zbl 1085.41502
Kroó, András
2001
On the zeros of polynomials of minimal $$L_ p$$-norm. Zbl 0629.41015
Kroó, András; Peherstorfer, Franz
1987
A Remez-type theorem for homogeneous polynomials. Zbl 1112.41011
Kroó, A.; Saff, E. B.; Yattselev, M.
2006
Markov-Bernstein type inequalities on compact subsets of $${\mathbb R}$$. Zbl 0977.41007
Erdélyi, T.; Kroó, A.; Szabados, J.
2000
A Haar-type theory of best uniform approximation with constraints. Zbl 0772.41026
Kroó, A.; Schmidt, D.
1991
On the convergence of Polya’s algorithm. Zbl 0459.41019
Kroo, Andras
1980
A note on discrete Cebysev approximation. Zbl 0464.42002
Kroo, A.
1980
Constructive properties of self-reciprocal polynomials. Zbl 0819.41006
1994
On weighted polynomials approximation on the plane. Zbl 0919.41006
Kroó, András
1995
Markov-type inequalities on certain irrational arcs and domains. Zbl 1063.41009
Erdélyi, Tamás; Kroó, András
2004
On the strong unicity of best Chebyshev approximation of differentiable functions. Zbl 0579.41025
Kroó, András
1983
Christoffel functions on convex and starlike domains in $$\mathbb R^d$$. Zbl 1300.33014
Kroó, András
2015
On the uniqueness of canonical points in the Hobby-Rice theorem. Zbl 0676.41029
Kroó, András
1989
Chebyshev-type extremal problems for multivariate polynomials on convex bodies. Zbl 1084.41547
Kroó, András
1999
Markov-type inequalities for homogeneous polynomials on nonsymmetric star-like domains. Zbl 1194.41019
Babenko, Yuliya; Kroó, András
2007
On the exact $$L_2$$ Markov inequality on some unbounded domains in $$\mathbb{R}^d$$. Zbl 1236.41012
2012
On the existence of optimal meshes in every convex domain on the plane. Zbl 1408.41005
Kroó, András
2019
Some properties of $$A$$-spaces and their relationship to $$L^ 1$$- approximation. Zbl 0739.41026
Kroó, A.; Schmidt, D.; Sommer, M.
1991
On $$A$$-spaces and their relation to the Hobby-Rice theorem. Zbl 0753.41033
Kroó, András; Schmidt, Darrell; Sommer, Manfred
1992
On uniqueness of best $$L_ 1$$-approximation in Sobolev spaces. Zbl 0765.41023
Kroó, A.; Swetits, J. J.
1992
On strong unicity of $$L_ 1-$$approximation. Zbl 0484.41039
Kroo, Andras
1981
On the distribution of points of maximal deviation in complex Cebysev approximation. Zbl 0491.30029
Kroo, A.
1982
Best L//1-approximation on finite point sets: Rate of convergence. Zbl 0505.41016
Kroo, Andras
1981
The equivalence of the moduli of continuity of the best approximation operator and of strong unicity in $$L^ 1$$. Zbl 0586.41022
Angelos, James R.; Kroó, András
1986
Jackson-type theorems in homogeneous approximation. Zbl 1142.41003
2008
Inverse polynomial mappings and interpolation on several intervals. Zbl 1332.41005
2016
On polynomials of minimal $$L_ q$$-deviation, $$0<q<1$$. Zbl 0634.41024
Kroó, András; Saff, E. B.
1988
On multivariate polynomials with largest gradients on convex bodies. Zbl 0971.41018
Kroó, András
2001
Classical polynomial inequalities in several variables. Zbl 1030.41011
Kroó, András
2003
A-spaces in $$L_ 1$$-approximation. Zbl 0609.41026
Kroó, András
1986
On the continuity and differentiability of the best approximation operator. Zbl 0616.41029
Angelos, J. R.; Henry, M. S.; Kaufman, E. H. jun.; Kroó, A.; Lenker, T. D.
1987
A general approach to the study of Chebyshev subspaces in $$L_ 1$$- approximation of continuous functions. Zbl 0632.41019
Kroó, András
1987
Local Lipschitz constants: Characterization and uniformity. Zbl 0707.41027
Bartelt, M. W.; Kroo, A.; Swetits, J. J.
1989
Tangential Bernstein-Markov inequalities for bivariate polynomials on curves. Zbl 1331.41015
2002
On stability of the metric projection operator. Zbl 1280.41010
Kroó, András; Pinkus, Allan
2013
Density of multivariate homogeneous polynomials on star like domains. Zbl 1402.41001
Kroó, András
2019
Density of bivariate homogeneous polynomials on non-convex curves. Zbl 1407.41004
Kroó, András; Totik, Vilmos
2019
Sharp $$L_p$$ Markov type inequality for cuspidal domainsin $$\mathbb{R}^d$$. Zbl 1431.41005
Kroó, András
2020
Sharp $$L_p$$ Markov type inequality for cuspidal domainsin $$\mathbb{R}^d$$. Zbl 1431.41005
Kroó, András
2020
On the existence of optimal meshes in every convex domain on the plane. Zbl 1408.41005
Kroó, András
2019
Density of multivariate homogeneous polynomials on star like domains. Zbl 1402.41001
Kroó, András
2019
Density of bivariate homogeneous polynomials on non-convex curves. Zbl 1407.41004
Kroó, András; Totik, Vilmos
2019
Inverse polynomial mappings and interpolation on several intervals. Zbl 1332.41005
2016
Christoffel functions on convex and starlike domains in $$\mathbb R^d$$. Zbl 1300.33014
Kroó, András
2015
Christoffel functions and universality in the bulk for multivariate orthogonal polynomials. Zbl 1267.42029
Kroó, A.; Lubinsky, D. S.
2013
Bernstein type inequalities on star-like domains in $$\mathbb{R}^d$$ with application to norming sets. Zbl 1284.41005
Kroó, András
2013
Christoffel functions and universality on the boundary of the ball. Zbl 1340.42064
Kroó, A.; Lubinsky, D. S.
2013
On $$L_p$$ multiple orthogonal polynomials. Zbl 1311.42061
Kroó, András
2013
On stability of the metric projection operator. Zbl 1280.41010
Kroó, András; Pinkus, Allan
2013
$$L^{1}$$-approximation and finding solutions with small support. Zbl 1262.41017
Benyamini, Y.; Kroó, A.; Pinkus, A.
2012
On the exact $$L_2$$ Markov inequality on some unbounded domains in $$\mathbb{R}^d$$. Zbl 1236.41012
2012
On optimal polynomial meshes. Zbl 1229.65049
Kroó, András
2011
Strong uniqueness. Zbl 1181.41003
Kroó, András; Pinkus, Allan
2010
On the approximation of convex bodies by convex algebraic level surfaces. Zbl 1194.52005
Kroó, András
2010
A Weierstrass-type theorem for homogeneous polynomials. Zbl 1180.41005
Benko, David; Kroó, András
2009
On the density of homogeneous polynomials on regular convex surfaces. Zbl 1199.41030
2009
On the exact Markov inequality for $$k$$-monotone polynomials in uniform and $$L_1$$-norms. Zbl 1224.41044
2009
On Bernstein-Markov-type inequalities for multivariate polynomials in $$L_q$$-norm. Zbl 1175.41013
Kroó, András
2009
New results and open problems in approximation of convex and star-like surfaces by algebraic level surfaces. Zbl 1183.41010
Kroó, András
2009
On the exact constant in the $$L_2$$ Markov inequality. Zbl 1151.41008
Kroó, András
2008
Asymptotic representation of weighted $$L_{\infty }$$- and $$L_{1}$$-minimal polynomials. Zbl 1160.33007
Kroó, András; Peherstorfer, Franz
2008
Jackson-type theorems in homogeneous approximation. Zbl 1142.41003
2008
Asymptotic representation of $$L_{p}$$-minimal polynomials, $$1 < p < \infty$$. Zbl 1103.41006
Kroo, Andras; Peherstorfer, Franz
2007
Markov-type inequalities for homogeneous polynomials on nonsymmetric star-like domains. Zbl 1194.41019
Babenko, Yuliya; Kroó, András
2007
A Remez-type theorem for homogeneous polynomials. Zbl 1112.41011
Kroó, A.; Saff, E. B.; Yattselev, M.
2006
On Markov inequality for multivariate polynomials. Zbl 1075.41009
Kroó, András
2005
On density of homogeneous polynomials on convex and star-like surfaces in $${\mathbb R}^d$$. Zbl 1141.41004
2005
Markov-type inequalities on certain irrational arcs and domains. Zbl 1063.41009
Erdélyi, Tamás; Kroó, András
2004
Markov-type inequalities for homogeneous polynomials on smooth convex bodies. Zbl 1113.52025
Kroó, András
2003
Classical polynomial inequalities in several variables. Zbl 1030.41011
Kroó, András
2003
Markov-type inequalities for surface gradients of multivariate polynomials. Zbl 1374.41057
Kroó, András
2002
Tangential Bernstein-Markov inequalities for bivariate polynomials on curves. Zbl 1331.41015
2002
On Remez-type inequalities for polynomials in $$\mathbb R^m$$ and $$\mathbb C^m$$. Zbl 0980.41010
Kroó, András
2001
Extremal properties of multivariate polynomials on sets with analytic parametrization. Zbl 1085.41502
Kroó, András
2001
On multivariate polynomials with largest gradients on convex bodies. Zbl 0971.41018
Kroó, András
2001
Markov-Bernstein type inequalities for multivariate polynomials on sets with cusps. Zbl 0953.41008
2000
Markov-Bernstein type inequalities on compact subsets of $${\mathbb R}$$. Zbl 0977.41007
Erdélyi, T.; Kroó, A.; Szabados, J.
2000
On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies. Zbl 0952.41012
Kroó, András; Révész, Szilárd
1999
A sharp version of Mahler’s inequality for products of polynomials. Zbl 0929.30005
Kroó, András; Pritsker, Igor E.
1999
Chebyshev-type extremal problems for multivariate polynomials on convex bodies. Zbl 1084.41547
Kroó, András
1999
Some extremal problems for multivariate polynomials on convex bodies. Zbl 0894.41013
Kroó, András; Schmidt, Darrell
1997
On approximation by ridge functions. Zbl 0895.41015
Kroó, A.
1997
On weighted approximation by lacunary polynomials and rational functions on the half-axis. Zbl 0860.41006
1996
Weighted polynomial approximation on the real line. Zbl 0885.41011
1995
On weighted polynomials approximation on the plane. Zbl 0919.41006
Kroó, András
1995
A geometric approach to the multivariate Müntz problem. Zbl 0802.41008
Kroó, András
1994
Constructive properties of self-reciprocal polynomials. Zbl 0819.41006
1994
On the asymptotic distribution of oscillation points in rational approximation. Zbl 0791.41018
Kroó, András; Peherstorfer, Franz
1993
On certain orthogonal polynomials, Nikolski- and Turán-type inequalities, and interpolatory properties of best approximants. Zbl 0786.41024
Kroó, András
1993
On density of interpolation points, a Kadec-type theorem, and Saff’s principle of contamination in $$L_ p$$-approximation. Zbl 0763.41023
Kroó, A.; Swetits, J. J.
1992
On the distribution of extremal points of general Chebyshev polynomials. Zbl 0752.41025
Kroó, András; Peherstorfer, Franz
1992
On $$A$$-spaces and their relation to the Hobby-Rice theorem. Zbl 0753.41033
Kroó, András; Schmidt, Darrell; Sommer, Manfred
1992
On uniqueness of best $$L_ 1$$-approximation in Sobolev spaces. Zbl 0765.41023
Kroó, A.; Swetits, J. J.
1992
A Haar-type theory of best uniform approximation with constraints. Zbl 0772.41026
Kroó, A.; Schmidt, D.
1991
Some properties of $$A$$-spaces and their relationship to $$L^ 1$$- approximation. Zbl 0739.41026
Kroó, A.; Schmidt, D.; Sommer, M.
1991
The density of alternation points in rational approximation. Zbl 0688.41018
Borwein, P. B.; Króo, A.; Grothmann, R.; Saff, E. B.
1989
On convergent interpolatory polynomials. Zbl 0692.41004
Erdős, Paul; Kroò, A.; Szabados, J.
1989
On the uniqueness of canonical points in the Hobby-Rice theorem. Zbl 0676.41029
Kroó, András
1989
Local Lipschitz constants: Characterization and uniformity. Zbl 0707.41027
Bartelt, M. W.; Kroo, A.; Swetits, J. J.
1989
The density of extreme points in complex polynomial approximation. Zbl 0663.41027
Kroó, András; Saff, E. B.
1988
Interpolatory properties of best rational $$L_ 1$$-approximations. Zbl 0676.41018
Kroó, András; Peherstorfer, Franz
1988
On polynomials of minimal $$L_ q$$-deviation, $$0<q<1$$. Zbl 0634.41024
Kroó, András; Saff, E. B.
1988
Best $$L_ 1$$-approximation with varying weights. Zbl 0621.41023
Kroó, András
1987
Interpolatory properties of best $$L_ 1$$-approximants. Zbl 0635.41004
Kroó, András; Peherstorfer, Franz
1987
On the zeros of polynomials of minimal $$L_ p$$-norm. Zbl 0629.41015
Kroó, András; Peherstorfer, Franz
1987
On the continuity and differentiability of the best approximation operator. Zbl 0616.41029
Angelos, J. R.; Henry, M. S.; Kaufman, E. H. jun.; Kroó, A.; Lenker, T. D.
1987
A general approach to the study of Chebyshev subspaces in $$L_ 1$$- approximation of continuous functions. Zbl 0632.41019
Kroó, András
1987
Chebyshev rank in $$L_ 1$$-approximation. Zbl 0592.41037
Kroó, András
1986
The equivalence of the moduli of continuity of the best approximation operator and of strong unicity in $$L^ 1$$. Zbl 0586.41022
Angelos, James R.; Kroó, András
1986
A-spaces in $$L_ 1$$-approximation. Zbl 0609.41026
Kroó, András
1986
On an $$L_ 1$$-approximation problem. Zbl 0569.41022
Kroó, András
1985
Some theorems on best $$L_ 1$$-approximation of continuous functions. Zbl 0567.41028
Kroó, A.
1984
On the unicity of best $$L_ 1$$-approximation by polynomials of several variables. Zbl 0549.41018
Kroó, A.
1983
On the strong unicity of best Chebyshev approximation of differentiable functions. Zbl 0579.41025
Kroó, András
1983
Best L//1-approximation of vector valued functions. Zbl 0492.41050
Kroo, A.
1982
Some theorems on unicity of multivariate $$L^ 1$$-approximation. Zbl 0527.41016
Kroo, A.
1982
On unicity of complex polynomial $$L_1$$-approximation along curves. Zbl 0516.30027
Kroo, A.
1982
On the distribution of points of maximal deviation in complex Cebysev approximation. Zbl 0491.30029
Kroo, A.
1982
On strong unicity of $$L_ 1-$$approximation. Zbl 0484.41039
Kroo, Andras
1981
Best L//1-approximation on finite point sets: Rate of convergence. Zbl 0505.41016
Kroo, Andras
1981
The Lipschitz constant of the operator of best approximation. Zbl 0452.41022
Kroo, A.
1980
On the convergence of Polya’s algorithm. Zbl 0459.41019
Kroo, Andras
1980
A note on discrete Cebysev approximation. Zbl 0464.42002
Kroo, A.
1980
A comparison of uniform and discrete polynomial approximation. Zbl 0426.41020
Kroo, A.
1979
On the uniform modulus of continuity of the operator of best approximation in the space of periodic functions. Zbl 0424.42003
Kroo, A.
1979
Differential properties of the operator of best approximation. Zbl 0398.41020
Kroo, A.
1978
On the continuity of best approximations in the space of integrable functions. Zbl 0405.41017
Kroo, A.
1978
The continuity of best approximations. Zbl 0372.41014
Kroo, A.
1977
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#### Cited by 169 Authors

 43 Kroó, András 10 Saff, Edward Barry 8 Blatt, Hans-Peter 8 Piazzon, Federico 8 Vianello, Marco 6 Angelos, James R. 6 Henry, Myron S. 6 Kovacheva, Ralitsa Krumova 6 Peherstorfer, Franz 6 Swetits, John J. 6 Totik, Vilmos 5 Erdélyi, Tamás 5 Sommer, Manfred 4 Bos, Len P. 4 Ganzburg, Michael Iosifovich 4 Gehlen, Wolfgang 4 Lenker, Terry D. 4 Schmidt, Darrell 4 Szabados, Jozsef 3 Bartelt, Martin W. 3 Calvi, Jean-Paul 3 Kaufman, Edwin H. jun. 3 Kolushov, A. V. 3 Ławrynowicz, Julian Mieczysław 3 Levenberg, Norman jun. 3 Lubinsky, Doron S. 3 Pierzchała, Rafał 3 Pritsker, Igor E. 3 Prymak, Andriy V. 3 Spalević, Miodrag M. 3 Tikhonov, Sergey Yur’evich 2 Benko, David 2 Borwein, Peter Benjamin 2 de Klerk, Etienne 2 De Marchi, Stefano 2 Deng, Guantie 2 Egger, Alan Gail 2 Gladkaya, A. V. 2 Grothmann, René 2 Horváth, Ágota P. 2 Li, Chong 2 Malykhin, Yuriĭ Vyacheslavovich 2 Marcellán Español, Francisco 2 Mhaskar, Hrushikesh N. 2 Milovanović, Gradimir V. 2 Naidenov, Nikola 2 Pinkus, Allan M. 2 Rodríguez García, José Manuel 2 Ryutin, Konstantin S. 2 Simonov, Ivan E. 2 Sommariva, Alvise 2 Speleers, Hendrik 2 Yang, Chengmin 1 Abbas, Lamia 1 Akturk, Mehmet Ali 1 Altun, Muhammed 1 Anastassiou, George Angelos 1 Andrievskii, Vladimir V. 1 Beauchard, Karine 1 Benyamini, Yoav 1 Białas-Cież, Leokadia 1 Binev, Peter G. 1 Bogolyubskiĭ, Alekseĭ Igor’evich 1 Böttcher, Albrecht 1 Braess, Dietrich 1 Brudnyi, Alexander 1 Cao, Jianbing 1 Castillo, Kenier 1 Chen, Shutao 1 Cvetković, Aleksandar S. 1 Dai, Feng 1 den Hertog, Dick 1 Dierckx, Paul 1 Dörfler, Peter 1 Draux, André 1 Dryanov, Dimiter P. 1 Elabwabi, G. 1 Eskenazis, Alexandros 1 Fischer, Thomas 1 Gal, Sorin Gheorghe 1 Gao, Zhiqiang 1 Goncharov, Alexander P. 1 Gorbachëv, Dmitriĭ Viktorovich 1 Hansen, Gerd 1 Harris, Lawrence A. 1 Hasson, Maurice 1 He, Simai 1 He, Xin 1 Herburt, Irmina 1 Hua, Liu 1 Hudzik, Henryk 1 Huili, Han 1 Huotari, Robert 1 Ismail, Mourad El-Houssieny 1 Ivanisvili, Paata 1 Jaming, Philippe 1 Kamińska, Anna 1 Kaufman, Edwin jun. 1 Klurman, Oleksiy 1 Kohlenbach, Ulrich Wilhelm ...and 69 more Authors
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#### Cited in 59 Serials

 66 Journal of Approximation Theory 20 Journal of Mathematical Analysis and Applications 17 Constructive Approximation 12 Acta Mathematica Hungarica 8 Numerical Functional Analysis and Optimization 6 Mathematical Notes 5 Analysis Mathematica 5 Applied Mathematics and Computation 4 Proceedings of the American Mathematical Society 3 Acta Mathematica Academiae Scientiarum Hungaricae 3 Transactions of the American Mathematical Society 3 Optimization Letters 3 Bulletin of Mathematical Sciences 2 Ukrainian Mathematical Journal 2 Mathematics of Computation 2 Advances in Mathematics 2 Journal of Computational and Applied Mathematics 2 Mathematische Annalen 2 Mathematical Programming. Series A. Series B 2 St. Petersburg Mathematical Journal 2 Abstract and Applied Analysis 2 Computational Methods and Function Theory 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Studia Mathematica 1 Arkiv för Matematik 1 Annales Polonici Mathematici 1 BIT 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Annals of Pure and Applied Logic 1 Applied Numerical Mathematics 1 Journal of Complexity 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Numerical Algorithms 1 Computational Statistics 1 Aequationes Mathematicae 1 European Journal of Operational Research 1 Indagationes Mathematicae. New Series 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 The Ramanujan Journal 1 Communications in Contemporary Mathematics 1 Journal of the Australian Mathematical Society 1 Mediterranean Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Banach Journal of Mathematical Analysis
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#### Cited in 27 Fields

 171 Approximations and expansions (41-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 24 Functions of a complex variable (30-XX) 19 Real functions (26-XX) 18 Numerical analysis (65-XX) 16 Special functions (33-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Convex and discrete geometry (52-XX) 7 Potential theory (31-XX) 6 Operations research, mathematical programming (90-XX) 5 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)