Estimates of the mixed norms of derivatives and of the mixed moduli of smoothness of functions having monotone Fourier coefficients

DOI10.1134/S0001434615050211zbMath1326.42017OpenAlexW2288203350MaRDI QIDQ745629

T. M. Vukolova

Publication date: 14 October 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434615050211

zbMATH Keywords

derivativeHardy-Littlewood theoremmixed normsPringsheim convergencemixed modulus of smoothnessmonotone Fourier coefficients

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Related Items (1)

Estimates of norms of functions represented as double series over cosines with multiple-monotone coefficients

Cites Work

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• Relation between moduli of smoothness and partial sums of Fourier series and embedding theorems for Nikol'skii classes
• ON THE CONVERGENCE OF DOUBLE TRIGONOMETRIC SERIES AND FOURIER SERIES WITH MONOTONE COEFFICIENTS

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