Functions of (ϕ,ψ)-bounded variation and its double Walsh-Fourier coefficients

DOI10.7153/JCA-2023-21-01OpenAlexW4320735679MaRDI QIDQ5885587

K. N. Darji, Rajendra G. Vyas

Publication date: 4 April 2023

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

Full work available at URL: https://doi.org/10.7153/jca-2023-21-01

zbMATH Keywords

functions of \((\phi,\psi)\)-bounded variationorder of magnitude of double Walsh-Fourier coefficients

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Inequalities for sums, series and integrals (26D15) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Fourier series and coefficients in several variables (42B05)

Cites Work

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• Order of magnitude of multiple Fourier coefficients of functions of bounded variation
• On the absolute convergence of multiple Fourier series
• Functions of generalized bounded variation and its multiple fourier coefficients
• On multiple Fourier coefficients of functions of ϕ-Λ;-bounded variation
• Order of Magnitude of Multiple Fourier Coefficients
• On the Walsh Functions

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