Extension of functions in non-isotropic Nikolskii–Besov spaces and approximation of their derivatives

DOI10.1070/IM8687zbMath1412.46045arXiv1805.10625OpenAlexW2906724149MaRDI QIDQ4645138

S. N. Kudryavtsev

Publication date: 10 January 2019

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.10625

zbMATH Keywords

widthequivalent normsoperator approximationextension of functionsderivative recoverynon-isotropic Nikolskii-Besov spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Approximation by arbitrary linear expressions (41A45)

Related Items (2)

Extension of functions from isotropic Nikol'skii-Besov spaces and their approximation together with derivatives ⋮ Extension of functions in non-isotropic Nikolskii–Besov spaces and approximation of their derivatives

Cites Work

• Generalized Haar series and their applications
• Diameters of classes of smooth functions
• Extension of functions in non-isotropic Nikolskii–Besov spaces and approximation of their derivatives
• Approximation of the derivatives of finitely smooth functions belonging to non-isotropic classes
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