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## Petrushev, Pencho P.

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 Author ID: petrushev.pencho-p Published as: Petrusev, P.; Petrusev, P. P.; Petrusev, Penco P.; Petrushev, P.; Petrushev, P. P.; Petrushev, Pencho; Petrushev, Pencho P. Homepage: http://people.math.sc.edu/pencho/ External Links: Math-Net.Ru · dblp
 Documents Indexed: 110 Publications since 1976, including 4 Books
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#### Co-Authors

 32 single-authored 15 Kyriazis, George C. 14 Kerkyacharian, Gérard 11 Ivanov, Kamen G. 10 Khristov, Vladimir Kh. 10 Xu, Yuan 8 Dekel, Shai 5 DeVore, Ronald A. 5 Picard, Dominique B. 4 Dahmen, Wolfgang A. 4 Georgiadis, Athanasios G. 4 Popov, Vasil Atanasov 3 Moskona, E. S. 3 Sendov, Blagovest Khristov 3 Tashev, Spas P. 2 Binev, Peter G. 2 Cohen, Albert 2 Karaivanov, Borislav 2 Maleev, Rumen P. 2 Narcowich, Francis J. 2 Saff, Edward Barry 2 Ward, Joseph Dinneen 1 Campos Pinto, Martin 1 Cleanthous, Galatia 1 Coulhon, Thierry 1 Davydov, Oleg V. 1 Han, Yiru 1 Le Pennec, Erwan 1 Lind, Martin 1 Ogawa, Shigeyoshi 1 Oskolkov, Konstantin Ilyich 1 Park, Kyungwon 1 Sharpley, Robert C. 1 Tasev, Sp. 1 Temlyakov, Vladimir Nikolaevich 1 Trifonov, Ognian 1 Troyanski, Stanimir L. 1 Weissblat, Tal 1 Willer, Thomas 1 Xu, Hong 1 Yu, Xiangming
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#### Serials

 13 Doklady Bolgarskoĭ Akademii Nauk 11 Constructive Approximation 7 The Journal of Fourier Analysis and Applications 5 Journal of Functional Analysis 5 Serdica 4 Studia Mathematica 4 Journal of Approximation Theory 4 Transactions of the American Mathematical Society 4 PLISKA. Studia Mathematica Bulgarica 3 SIAM Journal on Mathematical Analysis 3 Applied and Computational Harmonic Analysis 2 Mathematical Notes 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Mathematics of the USSR, Sbornik 2 Encyclopedia of Mathematics and Its Applications 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Journal of Mathematical Analysis and Applications 1 Matematicheskie Zametki 1 American Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Acta Mathematica Hungarica 1 Numerical Algorithms 1 Annals of Numerical Mathematics 1 Advances in Computational Mathematics 1 Serdica Mathematical Journal 1 Bernoulli 1 Journal of Hyperbolic Differential Equations 1 Electronic Journal of Statistics
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#### Fields

 64 Approximations and expansions (41-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 24 Functional analysis (46-XX) 12 Numerical analysis (65-XX) 6 Abstract harmonic analysis (43-XX) 5 Special functions (33-XX) 5 Partial differential equations (35-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

66 Publications have been cited 824 times in 486 Documents Cited by Year
Rational approximation of real functions. Zbl 0644.41010
Petrushev, P. P.; Popov, V. A.
1987
Localized tight frames on spheres. Zbl 1143.42034
Narcowich, F. J.; Petrushev, P.; Ward, J. D.
2007
Decomposition of Besov and Triebel-Lizorkin spaces on the sphere. Zbl 1114.46026
Narcowich, F.; Petrushev, P.; Ward, J.
2006
Nonlinear approximation and the space $$BV(\mathbb{R}^2)$$. Zbl 0931.41019
Cohen, Albert; DeVore, Ronald; Petrushev, Pencho; Xu, Hong
1999
Heat kernel generated frames in the setting of Dirichlet spaces. Zbl 1270.58015
Coulhon, T.; Kerkyacharian, G.; Petrushev, P.
2012
Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces. Zbl 1321.58017
Kerkyacharian, Gerard; Petrushev, Pencho
2015
Approximation by ridge functions and neural networks. Zbl 0927.41006
Petrushev, Pencho P.
1999
Localized polynomial frames on the ball. Zbl 1213.42153
Petrushev, Pencho; Xu, Yuan
2008
Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball. Zbl 1153.41004
Kyriazis, G.; Petrushev, P.; Xu, Yuan
2008
Localized polynomial frames on the interval with Jacobi weights. Zbl 1096.42019
Petrushev, Pencho; Xu, Yuan
2005
Approximation classes for adaptive methods. Zbl 1039.42030
Binev, P.; Dahmen, W.; DeVore, R.; Petrushev, P.
2002
New bases for Triebel-Lizorkin and Besov spaces. Zbl 0988.42023
Kyriazis, G.; Petrushev, P.
2002
Decomposition of spaces of distributions induced by Hermite expansions. Zbl 1161.42305
Petrushev, Pencho; Xu, Yuan
2008
Sub-exponentially localized kernels and frames induced by orthogonal expansions. Zbl 1194.42035
Ivanov, Kamen; Petrushev, Pencho; Xu, Yuan
2010
Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces. Zbl 1283.42011
Kyriazis, George; Petrushev, Pencho; Xu, Yuan
2008
Needlet algorithms for estimation in inverse problems. Zbl 1320.62072
Kerkyacharian, Gérard; Petrushev, Pencho; Picard, Dominique B.; Willer, Thomas
2007
Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions. Zbl 1163.42010
Kerkyacharian, G.; Petrushev, P.; Picard, D.; Xu, Yuan
2009
Nonlinear wavelet approximation in the space $$C(\mathbf R^ d)$$. Zbl 0802.42027
DeVore, R. A.; Petrushev, P.; Yu, X. M.
1992
Inversion of noisy Radon transform by SVD based needlets. Zbl 1213.42117
Kerkyacharian, Gérard; Kyriazis, George; Le Pennec, Erwan; Petrushev, Pencho; Picard, Dominique
2010
Approximation by feed-forward neural networks. Zbl 0884.41012
DeVore, Ronald A.; Oskolkov, Konstantin I.; Petrushev, Pencho P.
1997
Bases consisting of rational functions of uniformly bounded degrees or more general functions. Zbl 0990.46005
Petrushev, Pencho
2000
Homogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators. Zbl 1362.30052
Georgiadis, A. G.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P.
2017
Direct and converse theorems for spline and rational approximation and Besov spaces. Zbl 0663.41012
Petrushev, Pencho P.
1988
Hardy spaces associated with non-negative self-adjoint operators. Zbl 1432.42014
Dekel, Shai; Kerkyacharian, Gerard; Kyriazis, George; Petrushev, Pencho
2017
Decomposition of spaces of distributions induced by tensor product bases. Zbl 1254.46037
Ivanov, Kamen; Petrushev, Pencho; Xu, Yuan
2012
Nonlinear piecewise polynomial approximation beyond Besov spaces. Zbl 1032.41018
Karaivanov, Borislav; Petrushev, Pencho
2003
Compactly supported frames for spaces of distributions associated with nonnegative self-adjoint operators. Zbl 1321.58015
Dekel, S.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P.
2014
Two-level-split decomposition of anisotropic Besov spaces. Zbl 1195.46030
Dahmen, Wolfgang; Dekel, Shai; Petrushev, Pencho
2010
Multilevel preconditioning for partition of unity methods: some analytic concepts. Zbl 1129.65092
Dahmen, Wolfgang; Dekel, Shai; Petrushev, Pencho
2007
Nonlinear approximation from differentiable piecewise polynomials. Zbl 1047.41009
Davydov, Oleg; Petrushev, Pencho
2003
Anisotropic meshless frames on $$\mathbb R^{n}$$. Zbl 1190.42017
Dekel, S.; Han, Y.; Petrushev, P.
2009
On the construction of frames for spaces of distributions. Zbl 1179.42025
Kyriazis, George; Petrushev, Pencho
2009
On the construction of frames for Triebel-Lizorkin and Besov spaces. Zbl 1089.42018
Kyriazis, George; Petrushev, Pencho
2006
Relations between rational and spline approximations in $$L_ p$$ metric. Zbl 0647.41018
Petrushev, Pencho P.
1987
Hardy spaces on $$\mathbb R^{n}$$ with pointwise variable anisotropy. Zbl 1236.42014
Dekel, Shai; Petrushev, Pencho; Weissblat, Tal
2011
Multivariate trigonometric polynomial approximations with frequencies from the hyperbolic cross. Zbl 0839.42006
DeVore, R. A.; Petrushev, P. P.; Temlyakov, V. N.
1994
Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators. Zbl 1432.46023
Georgiadis, A. G.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P.
2019
Rational bases for spaces of holomorphic functions in the disc. Zbl 1301.46016
Kyriazis, G.; Petrushev, P.
2014
Rational approximation of real functions. Reprint of the 1987 hardback edition. Zbl 1209.41002
Petrushev, P. P.; Popov, V. A.
2011
Anisotropic spaces and nonlinear $$n$$-term spline approximation. Zbl 1085.41013
Petrushev, Pencho
2005
Multivariate $$n$$-term rational and piecewise polynomial approximation. Zbl 1019.41004
Petrushev, Pencho
2003
The Gibbs phenomenon for best $$L_ 1$$-trigonometric polynomial approximation. Zbl 0838.42001
Moskona, E.; Petrushev, P.; Saff, E. B.
1995
Direct and converse theorems for spline approximation and Besov spaces. Zbl 0603.41006
Petrushev, P. P.
1986
Gaussian bounds for the heat kernels on the ball and the simplex: classical approach. Zbl 1432.35108
Kerkyacharian, Gerard; Petrushev, Pencho; Xu, Yuan
2020
Harmonic Besov and Triebel-Lizorkin spaces on the ball. Zbl 1385.42025
Ivanov, Kamen; Petrushev, Pencho
2017
Fast memory efficient evaluation of spherical polynomials at scattered points. Zbl 1308.65226
Ivanov, Kamen; Petrushev, Pencho
2015
Irregular sampling of band-limited functions on the sphere. Zbl 1297.65022
Ivanov, Kamen; Petrushev, Pencho
2014
On the Banach-Mazur theorem on the universality of $$C[0,1]$$. Zbl 0648.46018
Petrushev, P. P.; Troyanski, S. L.
1984
Gewisse inverse Sätze in der Hausdorffschen Metrik. Zbl 0379.41014
Petrusev, P.; Tasev, Sp.
1976
On the rational approximation of functions. Zbl 0363.41008
Petrusev, P. P.
1976
Gaussian bounds for the weighted heat kernels on the interval, ball, and simplex. Zbl 1447.35166
Kerkyacharian, Gerard; Petrushev, Pencho; Xu, Yuan
2020
Regularity of Gaussian processes on Dirichlet spaces. Zbl 1390.58022
Kerkyacharian, Gerard; Ogawa, Shigeyoshi; Petrushev, Pencho; Picard, Dominique
2018
Anisotropic Franklin bases on polygonal domains. Zbl 1096.42012
Kyriazis, George; Park, Kyungwon; Petrushev, Pencho
2006
Algorithms for nonlinear piecewise polynomial approximation: Theoretical aspects. Zbl 1016.41007
Karaivanov, Borislav; Petrushev, Pencho; Sharpley, Robert C.
2003
Connections between the best rational and the spline approximations in the metric $$L_ p$$. Zbl 0562.41024
Petrushev, Pencho P.
1983
Nonlinear nonnested spline approximation. Zbl 1367.41015
Lind, Martin; Petrushev, Pencho
2017
“Compactly” supported frames for spaces of distributions on the ball. Zbl 1239.42024
Kyriazis, George; Petrushev, Pencho
2012
“Push-the-Error” algorithm for nonlinear $$n$$-term approximation. Zbl 1106.41023
Dahmen, W.; Petrushev, P.
2006
Distribution of interpolation points of best $$L_ 2$$-approximants ($$n$$th partial sums of Fourier series). Zbl 0780.41003
Binev, P.; Petrushev, P.; Saff, E. B.; Trifonov, O.
1993
Uniform rational approximation of functions with first derivative in the real Hardy space Re $$H^ 1$$. Zbl 0733.41024
Moskona, E. S.; Petrushev, P. P.
1991
Relations between rational and spline approximations. Zbl 0596.41028
Petrushev, P.
1984
Gleichmäßige rationale Approximationen von Funktionen der Klasse V//r. Zbl 0412.41007
Petrushev, P. P.
1979
Convergence of a Fourier series in the Hausdorff metric. Zbl 0493.42014
Petrushev, Pencho P.; Khristov, Vladimir Kh.
1977
Uniform rational approximations of functions of bounded variation. Zbl 0493.41015
Petrushev, Pencho P.
1977
The exact order of the best approximation to convex functions by rational functions. Zbl 0398.41011
Popov, V. A.; Petrusev, P. P.
1977
An improvement of the Dini-Lipschitz criterion for uniform convergence of Fourier series. Zbl 0367.42010
Khristov, V. Kh.; Petrushev, P. P.
1976
Gaussian bounds for the heat kernels on the ball and the simplex: classical approach. Zbl 1432.35108
Kerkyacharian, Gerard; Petrushev, Pencho; Xu, Yuan
2020
Gaussian bounds for the weighted heat kernels on the interval, ball, and simplex. Zbl 1447.35166
Kerkyacharian, Gerard; Petrushev, Pencho; Xu, Yuan
2020
Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators. Zbl 1432.46023
Georgiadis, A. G.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P.
2019
Regularity of Gaussian processes on Dirichlet spaces. Zbl 1390.58022
Kerkyacharian, Gerard; Ogawa, Shigeyoshi; Petrushev, Pencho; Picard, Dominique
2018
Homogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators. Zbl 1362.30052
Georgiadis, A. G.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P.
2017
Hardy spaces associated with non-negative self-adjoint operators. Zbl 1432.42014
Dekel, Shai; Kerkyacharian, Gerard; Kyriazis, George; Petrushev, Pencho
2017
Harmonic Besov and Triebel-Lizorkin spaces on the ball. Zbl 1385.42025
Ivanov, Kamen; Petrushev, Pencho
2017
Nonlinear nonnested spline approximation. Zbl 1367.41015
Lind, Martin; Petrushev, Pencho
2017
Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces. Zbl 1321.58017
Kerkyacharian, Gerard; Petrushev, Pencho
2015
Fast memory efficient evaluation of spherical polynomials at scattered points. Zbl 1308.65226
Ivanov, Kamen; Petrushev, Pencho
2015
Compactly supported frames for spaces of distributions associated with nonnegative self-adjoint operators. Zbl 1321.58015
Dekel, S.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P.
2014
Rational bases for spaces of holomorphic functions in the disc. Zbl 1301.46016
Kyriazis, G.; Petrushev, P.
2014
Irregular sampling of band-limited functions on the sphere. Zbl 1297.65022
Ivanov, Kamen; Petrushev, Pencho
2014
Heat kernel generated frames in the setting of Dirichlet spaces. Zbl 1270.58015
Coulhon, T.; Kerkyacharian, G.; Petrushev, P.
2012
Decomposition of spaces of distributions induced by tensor product bases. Zbl 1254.46037
Ivanov, Kamen; Petrushev, Pencho; Xu, Yuan
2012
“Compactly” supported frames for spaces of distributions on the ball. Zbl 1239.42024
Kyriazis, George; Petrushev, Pencho
2012
Hardy spaces on $$\mathbb R^{n}$$ with pointwise variable anisotropy. Zbl 1236.42014
Dekel, Shai; Petrushev, Pencho; Weissblat, Tal
2011
Rational approximation of real functions. Reprint of the 1987 hardback edition. Zbl 1209.41002
Petrushev, P. P.; Popov, V. A.
2011
Sub-exponentially localized kernels and frames induced by orthogonal expansions. Zbl 1194.42035
Ivanov, Kamen; Petrushev, Pencho; Xu, Yuan
2010
Inversion of noisy Radon transform by SVD based needlets. Zbl 1213.42117
Kerkyacharian, Gérard; Kyriazis, George; Le Pennec, Erwan; Petrushev, Pencho; Picard, Dominique
2010
Two-level-split decomposition of anisotropic Besov spaces. Zbl 1195.46030
Dahmen, Wolfgang; Dekel, Shai; Petrushev, Pencho
2010
Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions. Zbl 1163.42010
Kerkyacharian, G.; Petrushev, P.; Picard, D.; Xu, Yuan
2009
Anisotropic meshless frames on $$\mathbb R^{n}$$. Zbl 1190.42017
Dekel, S.; Han, Y.; Petrushev, P.
2009
On the construction of frames for spaces of distributions. Zbl 1179.42025
Kyriazis, George; Petrushev, Pencho
2009
Localized polynomial frames on the ball. Zbl 1213.42153
Petrushev, Pencho; Xu, Yuan
2008
Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball. Zbl 1153.41004
Kyriazis, G.; Petrushev, P.; Xu, Yuan
2008
Decomposition of spaces of distributions induced by Hermite expansions. Zbl 1161.42305
Petrushev, Pencho; Xu, Yuan
2008
Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces. Zbl 1283.42011
Kyriazis, George; Petrushev, Pencho; Xu, Yuan
2008
Localized tight frames on spheres. Zbl 1143.42034
Narcowich, F. J.; Petrushev, P.; Ward, J. D.
2007
Needlet algorithms for estimation in inverse problems. Zbl 1320.62072
Kerkyacharian, Gérard; Petrushev, Pencho; Picard, Dominique B.; Willer, Thomas
2007
Multilevel preconditioning for partition of unity methods: some analytic concepts. Zbl 1129.65092
Dahmen, Wolfgang; Dekel, Shai; Petrushev, Pencho
2007
Decomposition of Besov and Triebel-Lizorkin spaces on the sphere. Zbl 1114.46026
Narcowich, F.; Petrushev, P.; Ward, J.
2006
On the construction of frames for Triebel-Lizorkin and Besov spaces. Zbl 1089.42018
Kyriazis, George; Petrushev, Pencho
2006
Anisotropic Franklin bases on polygonal domains. Zbl 1096.42012
Kyriazis, George; Park, Kyungwon; Petrushev, Pencho
2006
“Push-the-Error” algorithm for nonlinear $$n$$-term approximation. Zbl 1106.41023
Dahmen, W.; Petrushev, P.
2006
Localized polynomial frames on the interval with Jacobi weights. Zbl 1096.42019
Petrushev, Pencho; Xu, Yuan
2005
Anisotropic spaces and nonlinear $$n$$-term spline approximation. Zbl 1085.41013
Petrushev, Pencho
2005
Nonlinear piecewise polynomial approximation beyond Besov spaces. Zbl 1032.41018
Karaivanov, Borislav; Petrushev, Pencho
2003
Nonlinear approximation from differentiable piecewise polynomials. Zbl 1047.41009
Davydov, Oleg; Petrushev, Pencho
2003
Multivariate $$n$$-term rational and piecewise polynomial approximation. Zbl 1019.41004
Petrushev, Pencho
2003
Algorithms for nonlinear piecewise polynomial approximation: Theoretical aspects. Zbl 1016.41007
Karaivanov, Borislav; Petrushev, Pencho; Sharpley, Robert C.
2003
Approximation classes for adaptive methods. Zbl 1039.42030
Binev, P.; Dahmen, W.; DeVore, R.; Petrushev, P.
2002
New bases for Triebel-Lizorkin and Besov spaces. Zbl 0988.42023
Kyriazis, G.; Petrushev, P.
2002
Bases consisting of rational functions of uniformly bounded degrees or more general functions. Zbl 0990.46005
Petrushev, Pencho
2000
Nonlinear approximation and the space $$BV(\mathbb{R}^2)$$. Zbl 0931.41019
Cohen, Albert; DeVore, Ronald; Petrushev, Pencho; Xu, Hong
1999
Approximation by ridge functions and neural networks. Zbl 0927.41006
Petrushev, Pencho P.
1999
Approximation by feed-forward neural networks. Zbl 0884.41012
DeVore, Ronald A.; Oskolkov, Konstantin I.; Petrushev, Pencho P.
1997
The Gibbs phenomenon for best $$L_ 1$$-trigonometric polynomial approximation. Zbl 0838.42001
Moskona, E.; Petrushev, P.; Saff, E. B.
1995
Multivariate trigonometric polynomial approximations with frequencies from the hyperbolic cross. Zbl 0839.42006
DeVore, R. A.; Petrushev, P. P.; Temlyakov, V. N.
1994
Distribution of interpolation points of best $$L_ 2$$-approximants ($$n$$th partial sums of Fourier series). Zbl 0780.41003
Binev, P.; Petrushev, P.; Saff, E. B.; Trifonov, O.
1993
Nonlinear wavelet approximation in the space $$C(\mathbf R^ d)$$. Zbl 0802.42027
DeVore, R. A.; Petrushev, P.; Yu, X. M.
1992
Uniform rational approximation of functions with first derivative in the real Hardy space Re $$H^ 1$$. Zbl 0733.41024
Moskona, E. S.; Petrushev, P. P.
1991
Direct and converse theorems for spline and rational approximation and Besov spaces. Zbl 0663.41012
Petrushev, Pencho P.
1988
Rational approximation of real functions. Zbl 0644.41010
Petrushev, P. P.; Popov, V. A.
1987
Relations between rational and spline approximations in $$L_ p$$ metric. Zbl 0647.41018
Petrushev, Pencho P.
1987
Direct and converse theorems for spline approximation and Besov spaces. Zbl 0603.41006
Petrushev, P. P.
1986
On the Banach-Mazur theorem on the universality of $$C[0,1]$$. Zbl 0648.46018
Petrushev, P. P.; Troyanski, S. L.
1984
Relations between rational and spline approximations. Zbl 0596.41028
Petrushev, P.
1984
Connections between the best rational and the spline approximations in the metric $$L_ p$$. Zbl 0562.41024
Petrushev, Pencho P.
1983
Gleichmäßige rationale Approximationen von Funktionen der Klasse V//r. Zbl 0412.41007
Petrushev, P. P.
1979
Convergence of a Fourier series in the Hausdorff metric. Zbl 0493.42014
Petrushev, Pencho P.; Khristov, Vladimir Kh.
1977
Uniform rational approximations of functions of bounded variation. Zbl 0493.41015
Petrushev, Pencho P.
1977
The exact order of the best approximation to convex functions by rational functions. Zbl 0398.41011
Popov, V. A.; Petrusev, P. P.
1977
Gewisse inverse Sätze in der Hausdorffschen Metrik. Zbl 0379.41014
Petrusev, P.; Tasev, Sp.
1976
On the rational approximation of functions. Zbl 0363.41008
Petrusev, P. P.
1976
An improvement of the Dini-Lipschitz criterion for uniform convergence of Fourier series. Zbl 0367.42010
Khristov, V. Kh.; Petrushev, P. P.
1976
all top 5

#### Cited by 590 Authors

 36 Petrushev, Pencho P. 19 Kerkyacharian, Gérard 19 Marinucci, Domenico 15 Georgiadis, Athanasios G. 14 Durastanti, Claudio 14 Nielsen, Morten 13 Bui, The Anh 13 Picard, Dominique B. 12 Duong, Xuan Thinh 12 Wang, Heping 11 Kyriazis, George C. 10 DeVore, Ronald A. 9 Xu, Yuan 8 Cleanthous, Galatia 8 Dekel, Shai 8 Ivanov, Kamen G. 8 Sloan, Ian Hugh 7 Dai, Feng 7 Geller, Daryl 7 Ismailov, Vugar E. 7 Kopotun, Kirill A. 7 Wang, Yuguang 6 Cobos, Fernando 6 Dahmen, Wolfgang A. 6 Ditzian, Zeev 6 Leviatan, Dany 6 Maiorov, Vitaly Evgen’evich 6 Mhaskar, Hrushikesh N. 6 Narcowich, Francis J. 6 Ward, Joseph Dinneen 5 Cohen, Albert 5 Dominguez, Oscar 5 Lan, Xiaohong 5 Lubinsky, Doron S. 5 Pesenson, Isaac Zalmanovich 5 Petrova, Guergana 5 Womersley, Robert S. 5 Yang, Dachun 4 Amat, Sergio P. 4 Baldi, Paolo 4 Hesse, Kerstin 4 Kim, Seungil 4 Le Pennec, Erwan 4 Lin, Shaobo 4 Nowak, Adam 4 Pekarskij, A. A. 4 Sickel, Winfried 4 Szarek, Tomasz Zachary 4 Trillo, Juan Carlos 3 Berezhnoĭ, Evgeniĭ Ivanovich 3 Bonito, Andrea 3 Bourguin, Solesne 3 Dechevsky, Lubomir T. 3 Dette, Holger 3 Dinh Dũng 3 Faÿ, Gilles 3 Ganzburg, Michael Iosifovich 3 Garrappa, Roberto 3 Girish, Muckai K. 3 Hagstrom, Thomas M. 3 Hu, Jianqiang 3 Huang, Hongwei 3 Le Gia, Quoc Thong 3 Li, Ji 3 Lin, Chincheng 3 Ly, Fu Ken 3 Mayeli, Azita 3 Melas, Viatcheslav B. 3 Munk, Axel 3 Popov, Vasil Atanasov 3 Prestin, Jurgen 3 Ramlau, Ronny 3 Rasmussen, Kenneth N. 3 Saff, Edward Barry 3 Sjogren, Peter 3 Teschke, Gerd 3 Triebel, Hans 3 Vasil’eva, Anastasiya Andreevna 3 Wendland, Holger 3 Xu, Jinchao 2 Bechler, Paweł 2 Bissantz, Nicolai 2 Borup, Lasse 2 Boyanov, Borislav Dechev 2 Brudnyi, Yuri A. 2 Cammarota, Valentina 2 Cao, Feilong 2 Chen, Long 2 Dahlke, Stephan 2 Damelin, Steven Benjamin 2 Daubechies, Ingrid Chantal 2 Druskin, Vladimir 2 Dziedziul, Karol 2 Ermakov, A. I. 2 Escande, Paul 2 Frommer, Andreas 2 Gajny, Laurent 2 Gibaru, Olivier 2 Givoli, Dan 2 Guilloux, Frédéric ...and 490 more Authors
all top 5

#### Cited in 135 Serials

 64 Journal of Approximation Theory 26 Constructive Approximation 25 The Journal of Fourier Analysis and Applications 24 Journal of Mathematical Analysis and Applications 17 Applied and Computational Harmonic Analysis 14 Mathematics of Computation 13 Mathematical Notes 11 Journal of Functional Analysis 11 Numerische Mathematik 11 Transactions of the American Mathematical Society 9 The Annals of Statistics 9 Journal of Computational and Applied Mathematics 9 Numerical Algorithms 9 Advances in Computational Mathematics 9 Electronic Journal of Statistics 8 Journal of Complexity 6 The Journal of Geometric Analysis 6 Bernoulli 5 Analysis Mathematica 5 Journal of Multivariate Analysis 5 Mathematische Nachrichten 5 Monatshefte für Mathematik 5 St. Petersburg Mathematical Journal 4 Computers & Mathematics with Applications 4 Journal d’Analyse Mathématique 4 Collectanea Mathematica 4 SIAM Journal on Numerical Analysis 4 Journal of Scientific Computing 4 Foundations of Computational Mathematics 4 International Journal of Wavelets, Multiresolution and Information Processing 3 Advances in Mathematics 3 Applied Mathematics and Computation 3 Journal of Differential Equations 3 Journal of Statistical Planning and Inference 3 Mathematische Zeitschrift 3 Statistics & Probability Letters 3 Acta Mathematica Hungarica 3 Applied Numerical Mathematics 3 Neural Networks 3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 3 Mathematical Methods of Statistics 3 Acta Mathematica Sinica. English Series 3 Proceedings of the Steklov Institute of Mathematics 3 The Annals of Applied Statistics 2 Bulletin of the Australian Mathematical Society 2 Computer Physics Communications 2 Studia Mathematica 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Results in Mathematics 2 Stochastic Analysis and Applications 2 Probability Theory and Related Fields 2 European Journal of Operational Research 2 Stochastic Processes and their Applications 2 Potential Analysis 2 Russian Journal of Mathematical Physics 2 Journal of Mathematical Sciences (New York) 2 Journal of Inverse and Ill-Posed Problems 2 Revista Matemática Complutense 2 SIAM Journal on Imaging Sciences 1 International Journal of Control 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Automatica 1 BIT 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematika 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Quaestiones Mathematicae 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Computer Aided Geometric Design 1 Acta Mathematicae Applicatae Sinica. English Series 1 Statistics 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 Queueing Systems 1 The Annals of Applied Probability 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 SIAM Review 1 Expositiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Test 1 SIAM Journal on Scientific Computing ...and 35 more Serials
all top 5

#### Cited in 38 Fields

 191 Approximations and expansions (41-XX) 186 Harmonic analysis on Euclidean spaces (42-XX) 126 Numerical analysis (65-XX) 102 Functional analysis (46-XX) 61 Statistics (62-XX) 45 Partial differential equations (35-XX) 33 Probability theory and stochastic processes (60-XX) 29 Special functions (33-XX) 26 Information and communication theory, circuits (94-XX) 22 Functions of a complex variable (30-XX) 21 Operator theory (47-XX) 19 Real functions (26-XX) 19 Abstract harmonic analysis (43-XX) 18 Global analysis, analysis on manifolds (58-XX) 18 Computer science (68-XX) 8 Integral transforms, operational calculus (44-XX) 8 Biology and other natural sciences (92-XX) 6 Optics, electromagnetic theory (78-XX) 5 Potential theory (31-XX) 5 Ordinary differential equations (34-XX) 5 Fluid mechanics (76-XX) 5 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Astronomy and astrophysics (85-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX)