Estimates for the widths of discrete function classes generated by a two-weight summation operator

DOI10.1134/S0081543816060201zbMath1366.46014OpenAlexW2532077043MaRDI QIDQ511463

A. A. Vasil'eva

Publication date: 15 February 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543816060201

zbMATH Keywords

widthsspace \(l_p\)two-weight summation operator

Mathematics Subject Classification ID

Banach sequence spaces (46B45) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (2)

Continuous sums of ridge functions on a convex body and the class VMO ⋮ Diameters of Sobolev weight classes with a ``small set of singularities for weights

Cites Work

• Estimates for \(n\)-widths of two-weighted summation operators on trees
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• The Approximation Numbers of Hardy-Type Operators on Trees
• Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, II. General weights
• Compactness properties of weighted summation operators on trees
• Asymptotic estimates for the approximation and entropy numbers of a one-weight Riemann-Liouville operator
• Compactness properties of weighted summation operators on trees–-the critical case
• DIAMETERS OF SETS IN FUNCTION SPACES AND THE THEORY OF BEST APPROXIMATIONS
• Widths of Sobolev weight classes on a domain with cusp
• SOME ELEMENTARY INEQUALITIES, III
• s-Numbers of operators in Banach spaces
• DIAMETERS OF SOME FINITE-DIMENSIONAL SETS AND CLASSES OF SMOOTH FUNCTIONS
• Approximation and entropy numbers of Volterra operators with application to Brownian motion
• Bounds for entropy numbers for some critical operators
• Approximation numbers and Kolmogorov widths of Hardy‐type operators in a non‐homogeneous case
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