Trigonometric series with coefficients general monotone with respect to subsequences

DOI10.3103/S1066369X21010023zbMath1465.42007OpenAlexW3129986855MaRDI QIDQ2027914

B. V. Simonov, I. Eh. Simonova

Publication date: 28 May 2021

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

Full work available at URL: https://doi.org/10.3103/s1066369x21010023

zbMATH Keywords

Fourier seriescoefficientmodule of smoothnessgeneral monotone subsequence

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Cites Work

• Sine and cosine series in \(L_{\varphi}\) classes
• On the interrelation of the generalized Besov-Nikols'kiǐ and Weyl-Nikols'kiǐ classes of functions
• Embedding theorems in constructive approximation
• Smoothness of functions and Fourier coefficients
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