Bounds for the Kolmogorov widths of the Sobolev weighted classes with conditions on the zero and highest derivatives

DOI10.1134/S106192082202008XzbMath1500.46029MaRDI QIDQ2146363

Yanyan Li

Publication date: 16 June 2022

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

weighted Sobolev spaceKolmogorov widths

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

Kolmogorov widths of the intersection of two finite-dimensional balls in a mixed norm

Cites Work

• Approximation of some classes of functions by local splines
• Estimates of the approximation numbers of an imbedding operator for spaces of Sobolev type with weights
• The Kolmogorov diameter of the intersection of classes of periodic functions and of finite-dimensional sets
• Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order \(r\) and zero
• Kolmogorov widths of the intersection of two finite-dimensional balls
• Widths of function classes on sets with tree-like structure
• Widths of weighted Sobolev classes on a John domain
• NORMS OF RANDOM MATRICES AND WIDTHS OF FINITE-DIMENSIONAL SETS
• IMBEDDING THEOREMS AND COMPACTNESS FOR SPACES OF SOBOLEV TYPE WITH WEIGHTS
• IMBEDDING THEOREMS AND COMPACTNESS FOR SPACES OF SOBOLEV TYPE WITH WEIGHTS. II
• s-Numbers of operators in Banach spaces
• DIAMETERS OF SOME FINITE-DIMENSIONAL SETS AND CLASSES OF SMOOTH FUNCTIONS
• On Weighted Norm Inequalities with Three Weights
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