Asymptotic estimates for the approximation and entropy numbers of a one-weight Riemann-Liouville operator

DOI10.3103/S1055134407010014zbMath1249.47037OpenAlexW2914202242MaRDI QIDQ3115336

Elena Lomakina, Vladimir D. Stepanov

Publication date: 20 February 2012

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134407010014

zbMATH Keywords

Lebesgue spaceentropy numberapproximation numberintegral Riemann-Liouville operator

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Integral operators (47G10)

Related Items (14)

Estimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases ⋮ Widths of weighted Sobolev classes on a John domain: strong singularity at a point ⋮ The images of integration operators in weighted function spaces ⋮ Entropy numbers of embedding operators of function spaces on sets with tree-like structure ⋮ Kolmogorov widths of weighted Sobolev classes on closed intervals ⋮ Kolmogorov widths of weighted Sobolev classes on a domain for a special class of weights ⋮ Upper estimates for the approximation numbers of the generalized Laplace transform ⋮ Estimates for the widths of discrete function classes generated by a two-weight summation operator ⋮ Fractional integration operators of variable order: continuity and compactness properties ⋮ Entropy numbers of convex hulls in Banach spaces and applications ⋮ Kolmogorov widths and approximation numbers of Sobolev classes with singular weights ⋮ Kolmogorov widths of intersections of weighted Sobolev classes on an interval with conditions on the zeroth and first derivatives ⋮ Kolmogorov widths of weighted Sobolev classes on a domain for a special class of weights. II ⋮ Reduction theorems for weighted integral inequalities on the cone of monotone functions

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