Rate of convergence for rational and conjugate rational Fourier series of functions of generalized bounded variation

DOI10.12697/ACUTM.2022.26.16OpenAlexW4310147719MaRDI QIDQ5058298

H. J. Khachar, Rajendra G. Vyas

Publication date: 20 December 2022

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12697/acutm.2022.26.16

zbMATH Keywords

rate of convergencegeneralized bounded variationrational Fourier seriesdouble rational Fourier series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Rate of convergence, degree of approximation (41A25) Fourier series and coefficients in several variables (42B05) Approximation by other special function classes (41A30)

Cites Work

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• Estimating functions by partial sums of their Fourier series
• An estimate of the rate of convergence of the conjugate Fourier series of functions of bounded variation
• On the rate of convergence of Fourier-Legendre series of functions of bounded variation
• Orthogonal rational functions and tridiagonal matrices
• A note on multiple rational Fourier series
• On Λ-bounded variation
• A Quantitative Dirichlet-Jordan Test for Walsh-Fourier Series
• On convergence of rational Fourier series of functions of bounded variations

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