Edit Profile Petrushev, Pencho P. Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 66 Publications have been cited 824 times in 486 Documents Cited by ▼ Year ▼ Rational approximation of real functions. Zbl 0644.41010Petrushev, P. P.; Popov, V. A. 111 1987 Localized tight frames on spheres. Zbl 1143.42034Narcowich, F. J.; Petrushev, P.; Ward, J. D. 89 2007 Decomposition of Besov and Triebel-Lizorkin spaces on the sphere. Zbl 1114.46026Narcowich, F.; Petrushev, P.; Ward, J. 71 2006 Nonlinear approximation and the space \(BV(\mathbb{R}^2)\). Zbl 0931.41019Cohen, Albert; DeVore, Ronald; Petrushev, Pencho; Xu, Hong 42 1999 Heat kernel generated frames in the setting of Dirichlet spaces. Zbl 1270.58015Coulhon, T.; Kerkyacharian, G.; Petrushev, P. 37 2012 Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces. Zbl 1321.58017Kerkyacharian, Gerard; Petrushev, Pencho 36 2015 Approximation by ridge functions and neural networks. Zbl 0927.41006Petrushev, Pencho P. 36 1999 Localized polynomial frames on the ball. Zbl 1213.42153Petrushev, Pencho; Xu, Yuan 28 2008 Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball. Zbl 1153.41004Kyriazis, G.; Petrushev, P.; Xu, Yuan 25 2008 Localized polynomial frames on the interval with Jacobi weights. Zbl 1096.42019Petrushev, Pencho; Xu, Yuan 19 2005 Approximation classes for adaptive methods. Zbl 1039.42030Binev, P.; Dahmen, W.; DeVore, R.; Petrushev, P. 19 2002 New bases for Triebel-Lizorkin and Besov spaces. Zbl 0988.42023Kyriazis, G.; Petrushev, P. 19 2002 Decomposition of spaces of distributions induced by Hermite expansions. Zbl 1161.42305Petrushev, Pencho; Xu, Yuan 18 2008 Sub-exponentially localized kernels and frames induced by orthogonal expansions. Zbl 1194.42035Ivanov, Kamen; Petrushev, Pencho; Xu, Yuan 15 2010 Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces. Zbl 1283.42011Kyriazis, George; Petrushev, Pencho; Xu, Yuan 14 2008 Needlet algorithms for estimation in inverse problems. Zbl 1320.62072Kerkyacharian, Gérard; Petrushev, Pencho; Picard, Dominique B.; Willer, Thomas 14 2007 Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions. Zbl 1163.42010Kerkyacharian, G.; Petrushev, P.; Picard, D.; Xu, Yuan 13 2009 Nonlinear wavelet approximation in the space \(C(\mathbf R^ d)\). Zbl 0802.42027DeVore, R. A.; Petrushev, P.; Yu, X. M. 12 1992 Inversion of noisy Radon transform by SVD based needlets. Zbl 1213.42117Kerkyacharian, Gérard; Kyriazis, George; Le Pennec, Erwan; Petrushev, Pencho; Picard, Dominique 11 2010 Approximation by feed-forward neural networks. Zbl 0884.41012DeVore, Ronald A.; Oskolkov, Konstantin I.; Petrushev, Pencho P. 11 1997 Bases consisting of rational functions of uniformly bounded degrees or more general functions. Zbl 0990.46005Petrushev, Pencho 10 2000 Homogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators. Zbl 1362.30052Georgiadis, A. G.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P. 9 2017 Direct and converse theorems for spline and rational approximation and Besov spaces. Zbl 0663.41012Petrushev, Pencho P. 9 1988 Hardy spaces associated with non-negative self-adjoint operators. Zbl 1432.42014Dekel, Shai; Kerkyacharian, Gerard; Kyriazis, George; Petrushev, Pencho 8 2017 Decomposition of spaces of distributions induced by tensor product bases. Zbl 1254.46037Ivanov, Kamen; Petrushev, Pencho; Xu, Yuan 8 2012 Nonlinear piecewise polynomial approximation beyond Besov spaces. Zbl 1032.41018Karaivanov, Borislav; Petrushev, Pencho 8 2003 Compactly supported frames for spaces of distributions associated with nonnegative self-adjoint operators. Zbl 1321.58015Dekel, S.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P. 7 2014 Two-level-split decomposition of anisotropic Besov spaces. Zbl 1195.46030Dahmen, Wolfgang; Dekel, Shai; Petrushev, Pencho 7 2010 Multilevel preconditioning for partition of unity methods: some analytic concepts. Zbl 1129.65092Dahmen, Wolfgang; Dekel, Shai; Petrushev, Pencho 7 2007 Nonlinear approximation from differentiable piecewise polynomials. Zbl 1047.41009Davydov, Oleg; Petrushev, Pencho 7 2003 Anisotropic meshless frames on \(\mathbb R^{n}\). Zbl 1190.42017Dekel, S.; Han, Y.; Petrushev, P. 6 2009 On the construction of frames for spaces of distributions. Zbl 1179.42025Kyriazis, George; Petrushev, Pencho 6 2009 On the construction of frames for Triebel-Lizorkin and Besov spaces. Zbl 1089.42018Kyriazis, George; Petrushev, Pencho 6 2006 Relations between rational and spline approximations in \(L_ p\) metric. Zbl 0647.41018Petrushev, Pencho P. 6 1987 Hardy spaces on \(\mathbb R^{n}\) with pointwise variable anisotropy. Zbl 1236.42014Dekel, Shai; Petrushev, Pencho; Weissblat, Tal 5 2011 Multivariate trigonometric polynomial approximations with frequencies from the hyperbolic cross. Zbl 0839.42006DeVore, R. A.; Petrushev, P. P.; Temlyakov, V. N. 5 1994 Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators. Zbl 1432.46023Georgiadis, A. G.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P. 4 2019 Rational bases for spaces of holomorphic functions in the disc. Zbl 1301.46016Kyriazis, G.; Petrushev, P. 4 2014 Rational approximation of real functions. Reprint of the 1987 hardback edition. Zbl 1209.41002Petrushev, P. P.; Popov, V. A. 4 2011 Anisotropic spaces and nonlinear \(n\)-term spline approximation. Zbl 1085.41013Petrushev, Pencho 4 2005 Multivariate \(n\)-term rational and piecewise polynomial approximation. Zbl 1019.41004Petrushev, Pencho 4 2003 The Gibbs phenomenon for best \(L_ 1\)-trigonometric polynomial approximation. Zbl 0838.42001Moskona, E.; Petrushev, P.; Saff, E. B. 4 1995 Direct and converse theorems for spline approximation and Besov spaces. Zbl 0603.41006Petrushev, P. P. 4 1986 Gaussian bounds for the heat kernels on the ball and the simplex: classical approach. Zbl 1432.35108Kerkyacharian, Gerard; Petrushev, Pencho; Xu, Yuan 3 2020 Harmonic Besov and Triebel-Lizorkin spaces on the ball. Zbl 1385.42025Ivanov, Kamen; Petrushev, Pencho 3 2017 Fast memory efficient evaluation of spherical polynomials at scattered points. Zbl 1308.65226Ivanov, Kamen; Petrushev, Pencho 3 2015 Irregular sampling of band-limited functions on the sphere. Zbl 1297.65022Ivanov, Kamen; Petrushev, Pencho 3 2014 On the Banach-Mazur theorem on the universality of \(C[0,1]\). Zbl 0648.46018Petrushev, P. P.; Troyanski, S. L. 3 1984 Gewisse inverse Sätze in der Hausdorffschen Metrik. Zbl 0379.41014Petrusev, P.; Tasev, Sp. 3 1976 On the rational approximation of functions. Zbl 0363.41008Petrusev, P. P. 3 1976 Gaussian bounds for the weighted heat kernels on the interval, ball, and simplex. Zbl 1447.35166Kerkyacharian, Gerard; Petrushev, Pencho; Xu, Yuan 2 2020 Regularity of Gaussian processes on Dirichlet spaces. Zbl 1390.58022Kerkyacharian, Gerard; Ogawa, Shigeyoshi; Petrushev, Pencho; Picard, Dominique 2 2018 Anisotropic Franklin bases on polygonal domains. Zbl 1096.42012Kyriazis, George; Park, Kyungwon; Petrushev, Pencho 2 2006 Algorithms for nonlinear piecewise polynomial approximation: Theoretical aspects. Zbl 1016.41007Karaivanov, Borislav; Petrushev, Pencho; Sharpley, Robert C. 2 2003 Connections between the best rational and the spline approximations in the metric \(L_ p\). Zbl 0562.41024Petrushev, Pencho P. 2 1983 Nonlinear nonnested spline approximation. Zbl 1367.41015Lind, Martin; Petrushev, Pencho 1 2017 “Compactly” supported frames for spaces of distributions on the ball. Zbl 1239.42024Kyriazis, George; Petrushev, Pencho 1 2012 “Push-the-Error” algorithm for nonlinear \(n\)-term approximation. Zbl 1106.41023Dahmen, W.; Petrushev, P. 1 2006 Distribution of interpolation points of best \(L_ 2\)-approximants (\(n\)th partial sums of Fourier series). Zbl 0780.41003Binev, P.; Petrushev, P.; Saff, E. B.; Trifonov, O. 1 1993 Uniform rational approximation of functions with first derivative in the real Hardy space Re \(H^ 1\). Zbl 0733.41024Moskona, E. S.; Petrushev, P. P. 1 1991 Relations between rational and spline approximations. Zbl 0596.41028Petrushev, P. 1 1984 Gleichmäßige rationale Approximationen von Funktionen der Klasse V//r. Zbl 0412.41007Petrushev, P. P. 1 1979 Convergence of a Fourier series in the Hausdorff metric. Zbl 0493.42014Petrushev, Pencho P.; Khristov, Vladimir Kh. 1 1977 Uniform rational approximations of functions of bounded variation. Zbl 0493.41015Petrushev, Pencho P. 1 1977 The exact order of the best approximation to convex functions by rational functions. Zbl 0398.41011Popov, V. A.; Petrusev, P. P. 1 1977 An improvement of the Dini-Lipschitz criterion for uniform convergence of Fourier series. Zbl 0367.42010Khristov, V. Kh.; Petrushev, P. P. 1 1976 Gaussian bounds for the heat kernels on the ball and the simplex: classical approach. Zbl 1432.35108Kerkyacharian, Gerard; Petrushev, Pencho; Xu, Yuan 3 2020 Gaussian bounds for the weighted heat kernels on the interval, ball, and simplex. Zbl 1447.35166Kerkyacharian, Gerard; Petrushev, Pencho; Xu, Yuan 2 2020 Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators. Zbl 1432.46023Georgiadis, A. G.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P. 4 2019 Regularity of Gaussian processes on Dirichlet spaces. Zbl 1390.58022Kerkyacharian, Gerard; Ogawa, Shigeyoshi; Petrushev, Pencho; Picard, Dominique 2 2018 Homogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators. Zbl 1362.30052Georgiadis, A. G.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P. 9 2017 Hardy spaces associated with non-negative self-adjoint operators. Zbl 1432.42014Dekel, Shai; Kerkyacharian, Gerard; Kyriazis, George; Petrushev, Pencho 8 2017 Harmonic Besov and Triebel-Lizorkin spaces on the ball. Zbl 1385.42025Ivanov, Kamen; Petrushev, Pencho 3 2017 Nonlinear nonnested spline approximation. Zbl 1367.41015Lind, Martin; Petrushev, Pencho 1 2017 Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces. Zbl 1321.58017Kerkyacharian, Gerard; Petrushev, Pencho 36 2015 Fast memory efficient evaluation of spherical polynomials at scattered points. Zbl 1308.65226Ivanov, Kamen; Petrushev, Pencho 3 2015 Compactly supported frames for spaces of distributions associated with nonnegative self-adjoint operators. Zbl 1321.58015Dekel, S.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P. 7 2014 Rational bases for spaces of holomorphic functions in the disc. Zbl 1301.46016Kyriazis, G.; Petrushev, P. 4 2014 Irregular sampling of band-limited functions on the sphere. Zbl 1297.65022Ivanov, Kamen; Petrushev, Pencho 3 2014 Heat kernel generated frames in the setting of Dirichlet spaces. Zbl 1270.58015Coulhon, T.; Kerkyacharian, G.; Petrushev, P. 37 2012 Decomposition of spaces of distributions induced by tensor product bases. Zbl 1254.46037Ivanov, Kamen; Petrushev, Pencho; Xu, Yuan 8 2012 “Compactly” supported frames for spaces of distributions on the ball. Zbl 1239.42024Kyriazis, George; Petrushev, Pencho 1 2012 Hardy spaces on \(\mathbb R^{n}\) with pointwise variable anisotropy. Zbl 1236.42014Dekel, Shai; Petrushev, Pencho; Weissblat, Tal 5 2011 Rational approximation of real functions. Reprint of the 1987 hardback edition. Zbl 1209.41002Petrushev, P. P.; Popov, V. A. 4 2011 Sub-exponentially localized kernels and frames induced by orthogonal expansions. Zbl 1194.42035Ivanov, Kamen; Petrushev, Pencho; Xu, Yuan 15 2010 Inversion of noisy Radon transform by SVD based needlets. Zbl 1213.42117Kerkyacharian, Gérard; Kyriazis, George; Le Pennec, Erwan; Petrushev, Pencho; Picard, Dominique 11 2010 Two-level-split decomposition of anisotropic Besov spaces. Zbl 1195.46030Dahmen, Wolfgang; Dekel, Shai; Petrushev, Pencho 7 2010 Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions. Zbl 1163.42010Kerkyacharian, G.; Petrushev, P.; Picard, D.; Xu, Yuan 13 2009 Anisotropic meshless frames on \(\mathbb R^{n}\). Zbl 1190.42017Dekel, S.; Han, Y.; Petrushev, P. 6 2009 On the construction of frames for spaces of distributions. Zbl 1179.42025Kyriazis, George; Petrushev, Pencho 6 2009 Localized polynomial frames on the ball. Zbl 1213.42153Petrushev, Pencho; Xu, Yuan 28 2008 Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball. Zbl 1153.41004Kyriazis, G.; Petrushev, P.; Xu, Yuan 25 2008 Decomposition of spaces of distributions induced by Hermite expansions. Zbl 1161.42305Petrushev, Pencho; Xu, Yuan 18 2008 Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces. Zbl 1283.42011Kyriazis, George; Petrushev, Pencho; Xu, Yuan 14 2008 Localized tight frames on spheres. Zbl 1143.42034Narcowich, F. J.; Petrushev, P.; Ward, J. D. 89 2007 Needlet algorithms for estimation in inverse problems. Zbl 1320.62072Kerkyacharian, Gérard; Petrushev, Pencho; Picard, Dominique B.; Willer, Thomas 14 2007 Multilevel preconditioning for partition of unity methods: some analytic concepts. Zbl 1129.65092Dahmen, Wolfgang; Dekel, Shai; Petrushev, Pencho 7 2007 Decomposition of Besov and Triebel-Lizorkin spaces on the sphere. Zbl 1114.46026Narcowich, F.; Petrushev, P.; Ward, J. 71 2006 On the construction of frames for Triebel-Lizorkin and Besov spaces. Zbl 1089.42018Kyriazis, George; Petrushev, Pencho 6 2006 Anisotropic Franklin bases on polygonal domains. Zbl 1096.42012Kyriazis, George; Park, Kyungwon; Petrushev, Pencho 2 2006 “Push-the-Error” algorithm for nonlinear \(n\)-term approximation. Zbl 1106.41023Dahmen, W.; Petrushev, P. 1 2006 Localized polynomial frames on the interval with Jacobi weights. Zbl 1096.42019Petrushev, Pencho; Xu, Yuan 19 2005 Anisotropic spaces and nonlinear \(n\)-term spline approximation. Zbl 1085.41013Petrushev, Pencho 4 2005 Nonlinear piecewise polynomial approximation beyond Besov spaces. Zbl 1032.41018Karaivanov, Borislav; Petrushev, Pencho 8 2003 Nonlinear approximation from differentiable piecewise polynomials. Zbl 1047.41009Davydov, Oleg; Petrushev, Pencho 7 2003 Multivariate \(n\)-term rational and piecewise polynomial approximation. Zbl 1019.41004Petrushev, Pencho 4 2003 Algorithms for nonlinear piecewise polynomial approximation: Theoretical aspects. Zbl 1016.41007Karaivanov, Borislav; Petrushev, Pencho; Sharpley, Robert C. 2 2003 Approximation classes for adaptive methods. Zbl 1039.42030Binev, P.; Dahmen, W.; DeVore, R.; Petrushev, P. 19 2002 New bases for Triebel-Lizorkin and Besov spaces. Zbl 0988.42023Kyriazis, G.; Petrushev, P. 19 2002 Bases consisting of rational functions of uniformly bounded degrees or more general functions. Zbl 0990.46005Petrushev, Pencho 10 2000 Nonlinear approximation and the space \(BV(\mathbb{R}^2)\). Zbl 0931.41019Cohen, Albert; DeVore, Ronald; Petrushev, Pencho; Xu, Hong 42 1999 Approximation by ridge functions and neural networks. Zbl 0927.41006Petrushev, Pencho P. 36 1999 Approximation by feed-forward neural networks. Zbl 0884.41012DeVore, Ronald A.; Oskolkov, Konstantin I.; Petrushev, Pencho P. 11 1997 The Gibbs phenomenon for best \(L_ 1\)-trigonometric polynomial approximation. Zbl 0838.42001Moskona, E.; Petrushev, P.; Saff, E. B. 4 1995 Multivariate trigonometric polynomial approximations with frequencies from the hyperbolic cross. Zbl 0839.42006DeVore, R. A.; Petrushev, P. P.; Temlyakov, V. N. 5 1994 Distribution of interpolation points of best \(L_ 2\)-approximants (\(n\)th partial sums of Fourier series). Zbl 0780.41003Binev, P.; Petrushev, P.; Saff, E. B.; Trifonov, O. 1 1993 Nonlinear wavelet approximation in the space \(C(\mathbf R^ d)\). Zbl 0802.42027DeVore, R. A.; Petrushev, P.; Yu, X. M. 12 1992 Uniform rational approximation of functions with first derivative in the real Hardy space Re \(H^ 1\). Zbl 0733.41024Moskona, E. S.; Petrushev, P. P. 1 1991 Direct and converse theorems for spline and rational approximation and Besov spaces. Zbl 0663.41012Petrushev, Pencho P. 9 1988 Rational approximation of real functions. Zbl 0644.41010Petrushev, P. P.; Popov, V. A. 111 1987 Relations between rational and spline approximations in \(L_ p\) metric. Zbl 0647.41018Petrushev, Pencho P. 6 1987 Direct and converse theorems for spline approximation and Besov spaces. Zbl 0603.41006Petrushev, P. P. 4 1986 On the Banach-Mazur theorem on the universality of \(C[0,1]\). Zbl 0648.46018Petrushev, P. P.; Troyanski, S. L. 3 1984 Relations between rational and spline approximations. Zbl 0596.41028Petrushev, P. 1 1984 Connections between the best rational and the spline approximations in the metric \(L_ p\). Zbl 0562.41024Petrushev, Pencho P. 2 1983 Gleichmäßige rationale Approximationen von Funktionen der Klasse V//r. Zbl 0412.41007Petrushev, P. P. 1 1979 Convergence of a Fourier series in the Hausdorff metric. Zbl 0493.42014Petrushev, Pencho P.; Khristov, Vladimir Kh. 1 1977 Uniform rational approximations of functions of bounded variation. Zbl 0493.41015Petrushev, Pencho P. 1 1977 The exact order of the best approximation to convex functions by rational functions. Zbl 0398.41011Popov, V. A.; Petrusev, P. P. 1 1977 Gewisse inverse Sätze in der Hausdorffschen Metrik. Zbl 0379.41014Petrusev, P.; Tasev, Sp. 3 1976 On the rational approximation of functions. Zbl 0363.41008Petrusev, P. P. 3 1976 An improvement of the Dini-Lipschitz criterion for uniform convergence of Fourier series. Zbl 0367.42010Khristov, V. Kh.; Petrushev, P. P. 1 1976 all cited Publications top 5 cited Publications 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) Citations by Year