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

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发表日期：

2024年2月1日

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T. Yu. Semenova

摘要

Abstract

We obtain an estimate for the convergence rate of the Fourier series of a continuous periodic function in terms of the modulus of continuity of the function and the value of its \(p\) -variation. We prove that the leading term of the estimate is sharp.