Linear widths of weighted Sobolev classes with conditions on the highest order and zero derivatives

DOI10.1134/S1061920820040135zbMath1486.46041arXiv2006.11564OpenAlexW3035935403MaRDI QIDQ829062

N. E. Zubov

Publication date: 5 May 2021

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

Full work available at URL: https://arxiv.org/abs/2006.11564

zbMATH Keywords

linear widthsweighted Sobolev classes

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)

Cites Work

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• Entropy and approximation numbers of weighted Sobolev spaces via bracketing
• Entropy and approximation numbers of limiting embeddings; an approach via Hardy inequalities and quadratic forms
• 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
• Widths of function classes on sets with tree-like structure
• Entropy and approximation numbers of embeddings of weighted Sobolev spaces
• 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
• INTERPOLATION PROPERTIES OF $ \epsilon$-ENTROPY AND DIAMETERS. GEOMETRIC CHARACTERISTICS OF IMBEDDING FOR FUNCTION SPACES OF SOBOLEV-BESOV TYPE

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