Relation between moduli of smoothness and partial sums of Fourier series and embedding theorems for Nikol'skii classes

DOI10.1134/S1064562411020347zbMath1231.42004OpenAlexW2168201476MaRDI QIDQ656310

B. V. Simonov

Publication date: 17 January 2012

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

Full work available at URL: https://doi.org/10.1134/s1064562411020347

zbMATH Keywords

modulus of continuitymodulus of smoothnessFourier coefficients

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (2)

Estimates of the mixed norms of derivatives and of the mixed moduli of smoothness of functions having monotone Fourier coefficients ⋮ Properties of mixed moduli of smoothness of functions with lacunary Fourier coefficients

Cites Work

• Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes
• On the interrelation of the generalized Besov-Nikols'kiǐ and Weyl-Nikols'kiǐ classes of functions

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