Kolmogorov widths of the classes \(B_{p,\theta}^\Omega\) of periodic functions of many variables in the space \(L_q\)

DOI10.1007/s11253-013-0738-1zbMath1280.46021OpenAlexW2063610082MaRDI QIDQ2377197

Kateryna Vasylivna Solich

Publication date: 28 June 2013

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

Full work available at URL: https://doi.org/10.1007/s11253-013-0738-1

zbMATH Keywords

Kolmogorov widths

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (3)

Characteristics of the linear and nonlinear approximations of the Nikol'skii-Besov-type classes of periodic functions of several variables ⋮ Application of fractional continuum mechanics to rate independent plasticity ⋮ Estimations of linear widths of the classes \(B_{p,\theta}^\Omega\) of periodic functions of many variables in the space \(L_q\)

Cites Work

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• Approximation of the classes \(B^{\omega}_{p,\theta}\) of periodic functions of several variables by polynomials with a spectrum in cubic domains
• The \(N\)-width for a generalized periodic Besov classes
• The infinite-dimensional widths and optimal recovery of generalized Besov classes
• Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
• Certain problems of closest approximation

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