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

DOI10.3103/S0027132217050011zbMath1384.42007OpenAlexW2773757076MaRDI QIDQ1703190

T. M. Vukolova

Publication date: 1 March 2018

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132217050011

zbMATH Keywords

double cosine series

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Cites Work

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• Estimates of the mixed norms of derivatives and of the mixed moduli of smoothness of functions having monotone Fourier coefficients
• Estimates for mixed norms of the sums of double trigonometric series with multiply monotonous coefficients
• Bounds for norms of sums of double trigonometric series with multiply monotone coefficients
• Estimates of mixed norms of functions representable by double sine series with multiple-monotone coefficients
• Estimates of mixed norms of functions representable by series over products of cosines and sines with multiple-monotone coefficients

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