Order of magnitude of multiple Walsh-Fourier coefficients of functions of bounded \(\phi\)-variation

DOI10.1007/s41478-020-00265-7zbMath1464.42018OpenAlexW3048807520MaRDI QIDQ2026954

Bhikha Lila Ghodadra

Publication date: 21 May 2021

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

Full work available at URL: https://doi.org/10.1007/s41478-020-00265-7

zbMATH Keywords

order of magnitudefunction of bounded \(\phi\)-variation in several variablesmultiple Walsh-Fourier coefficient

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
• Order of magnitude of multiple Fourier coefficients of functions of bounded \(p\)-variation
• On multiple Walsh-Fourier coefficients of functions of \(\varphi-\Lambda\) -bounded variation
• Convergence of logarithmic means of multiple Walsh-Fourier series
• On Definitions of Bounded Variation for Functions of Two Variables
• An application of Jensen's inequality in determining the order of magnitude of multiple Fourier coefficients of functions of bounded φ-variation
• Shorter Notes: Fourier Coefficients of Functions of Bounded Variation
• On the Walsh Functions

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