Extension of functions from isotropic Nikol'skii-Besov spaces and their approximation together with derivatives

DOI10.1134/S0001434620110073zbMath1467.46036OpenAlexW3110917549MaRDI QIDQ2217265

S. N. Kudryavtsev

Publication date: 29 December 2020

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

Full work available at URL: https://doi.org/10.1134/s0001434620110073

zbMATH Keywords

equivalent normsextension of functionsrecovery of functionsapproximation of an operatorasymptotics of \(n\)-widthsisotropic Nikol'skii-Besov spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Cites Work

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• Continuation of functions of several variables with preservation of differential-difference properties
• An extension theorem for a family of functional spaces
• The Stechkin problem for partial derivation operators on classes of finitely smooth functions
• Widths of classes of finitely smooth functions in Sobolev spaces
• The best accuracy of reconstruction of finitely smooth functions from their values at a given number of points
• Extension of functions in non-isotropic Nikolskii–Besov spaces and approximation of their derivatives

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