Kolmogorov widths of weighted Sobolev classes on closed intervals

DOI10.1134/S0001434608110047zbMath1219.41017OpenAlexW2059836429MaRDI QIDQ635622

A. A. Vasil'eva

Publication date: 20 August 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434608110047

zbMATH Keywords

measurable functionRiemann-Liouville operatorKolmogorov width\(L_{p}\)Maiorov discretizationweighted Sobolev class

Mathematics Subject Classification ID

Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces

Cites Work

• Estimates of diameters of Sobolev classes of small smoothness
• Weighted inequalities of Hardy type
• Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval
• Asymptotic estimates for the approximation and entropy numbers of a one-weight Riemann-Liouville operator
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
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