Kolmogorov widths of the Nikol'skii-Besov classes of periodic functions of many variables in the space of quasicontinuous functions

DOI10.1007/s11253-022-02061-xOpenAlexW4302763955MaRDI QIDQ2084241

Sergii Ya. Yanchenko, A. S. Romanyuk

Publication date: 18 October 2022

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

Full work available at URL: https://doi.org/10.1007/s11253-022-02061-x

Mathematics Subject Classification ID

Harmonic analysis in one variable (42Axx) Approximations and expansions (41Axx) Approximations and expansions (41-XX)

Cites Work

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• An inequality for the entropy numbers and its application
• On the entropy numbers of the mixed smoothness function classes
• Spaces of functions of mixed smoothness from the decomposition point of view
• Estimates of entropy numbers and Gaussian measures for classes of functions with bounded mixed derivative
• On a certain norm and related applications
• Estimation of the entropy numbers and Kolmogorov widths for the Nikol'skii-Besov classes of periodic functions of many variables
• Entropy numbers and widths for the classes \(B_{p,\theta}^r\) of periodic functions of many variables
• An inequality for trigonometric polynomials and its application for estimating the entropy numbers
• On best \(m\)-term approximations and the entropy of sets in the space \(L^ 1\)
• Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 -- June 3, 2016
• Estimation of some approximating characteristics of the classes of periodic functions of one and many variables
• Estimates of approximating characteristics and the properties of the operators of best approximation for the classes of periodic functions in the space \(B_{1,1}\)
• Kolmogorov widths and bilinear approximations of the classes of periodic functions of one and many variables
• Approximating characteristics of the classes of periodic multivariate functions in the space \(B_{ \infty , 1} \)
• Estimates for the entropy numbers of the classes \( {B}_{p,\theta}^{\Omega } \) of periodic multivariable functions in the uniform metric
• Entropy numbers and widths for the Nikol'skii-Besov classes of functions of many variables in the space $L_{\infty}$
• Approximation of functions of several variables by trigonometric polynomials with given number of harmonics, and estimates of \(\epsilon\)- entropy
• Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
• On nonequivalence of the C- and QC-norms in the space of trigonometric polynomials
• Multivariate Approximation
• Some trigonometric polynomials with extremely small uniform norm and their applications
• Kolmogorov and trigonometric widths of the Besov classes $ B^r_{p,\theta}$ of multivariate periodic functions
• Widths of the Besov classes \(B_{p,\theta}^r (\mathbb{T}^d)\)

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