On weighted β-absolute convergence of double Fourier series

DOI10.7153/jca-2021-18-01zbMath1499.42043OpenAlexW3202536229MaRDI QIDQ5078332

K. N. Darji, Rajendra G. Vyas

Publication date: 23 May 2022

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jca-2021-18-01

zbMATH Keywords

double Fourier seriesabsolute convergencefunctions of \((\phi, \psi)\)-\((\Lambda^1, \Lambda^2)\)-bounded variation

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier series and coefficients in several variables (42B05)

Cites Work

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• Absolute convergence of multiple Fourier series revisited
• On the absolute convergence of multiple Fourier series
• On weighted absolute convergence of multiple Fourier series of a function of $(p_1,\ldots, p_N) - (\Lambda_1,\ldots, \Lambda_N) -BV$
• Fourier coefficients of functions from many-dimensional classes of bounded \(\Lambda\)-variation
• Absolute convergence of Fourier series of functions of λBV(p) and ϕλBV
• On multiple Fourier coefficients of functions of ϕ-Λ;-bounded variation
• Order of Magnitude of Multiple Fourier Coefficients
• On absolute convergence of multiple Fourier series

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