Refinement of the estimate for the rate of uniform convergence of the Fourier series of a continuous periodic function of bounded variation

DOI10.1134/S0001434623030240OpenAlexW4365814832MaRDI QIDQ2699791

Yanyan Li

Publication date: 19 April 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434623030240

zbMATH Keywords

function of bounded variationconvergence rate of Fourier series

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) History of mathematics and mathematicians (01Axx) Approximations and expansions (41Axx)

Related Items (1)

Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded $$p$$-Variation

Cites Work

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• Approximation of continuous periodic functions by Fourier sums
• About the optimal replacement of the Lebesque constant Fourier operator by a logarithmic function
• A remark on Jackson's theorem

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