Estimates of the Fourier widths of the classes of periodic functions with given majorant of the mixed modulus of smoothness

DOI10.1134/S0037446618020040zbMath1480.42002OpenAlexW2800252819MaRDI QIDQ721358

Sholpan A. Balgimbayeva, T. I. Smirnov

Publication date: 19 July 2018

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

Full work available at URL: https://doi.org/10.1134/s0037446618020040

zbMATH Keywords

function spacemajorantmixed modulus of smoothnesswavelet systemFourier width

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Trigonometric approximation (42A10) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items

Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol'skii-Besov spaces, Approximation characteristics of the Nikol'sky-Besov-type classes of periodic single- and multivariable functions in the \(B_{1,1}\) space, Estimates of approximating characteristics and the properties of the operators of best approximation for the classes of periodic functions in the space \(B_{1,1}\)

Cites Work

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• Theory of function spaces
• On approximation and characterization of periodic multivariate functions which have a majorant of the mixed moduli of continuity of specific kind
• Wavelet approximation and Fourier widths of classes of periodic functions of several variables. II
• Approximation of multidimensional functions with a given majorant of mixed moduli of continuity
• Estimates of the approximation characteristics of the classes \(B_{p,\theta}^\Omega\) of periodic functions of several variables with given majorant of mixed moduli of continuity
• On the widths of multivariate periodic classes of functions whose mixed moduli of continuity are bounded by a product of power- and logarithmic-type functions
• Approximation characteristics of the classes B p,θ Ω of periodic functions of many variables
• APPROXIMATION BY TRIGONOMETRIC POLYNOMIALS OF FUNCTIONS OF SEVERAL VARIABLES ON THE TORUS
• The orthoprojection widths of some classes of periodic functions of two variables with a given majorant of the mixed moduli of continuity