A new estimate of double Fourier coefficients for functions of bounded generalized variation

DOI10.3103/S0027132221040082zbMath1479.42007OpenAlexW3211579718MaRDI QIDQ2666942

N. A. Zhukovskii

Publication date: 23 November 2021

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

Full work available at URL: https://doi.org/10.3103/s0027132221040082

zbMATH Keywords

double Fourier seriesFourier coefficientsgeneralized variation

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

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• Order of magnitude of multiple Fourier coefficients of functions of bounded variation
• Spaces of functions of generalized bounded variation. I. ~Embedding theorems. Estimates for Lebesgue constants
• Fourier coefficients of functions from many-dimensional classes of bounded \(\Lambda\)-variation
• On the Magnitude of Fourier Coefficients
• On multiple Fourier coefficients of functions of ϕ-Λ;-bounded variation

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