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Behavior of sequences of partial Fourier sums of continuous functions near the points of their divergence

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Publication:789654
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DOI10.1007/BF01061658zbMath0533.42004OpenAlexW2051528825MaRDI QIDQ789654

A. I. Stepanets

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01061658


zbMATH Keywords

points of divergence


Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20)


Related Items (6)

Interpolation of periodic functions ⋮ Approximation of periodic functions by Fourier sums in the mean ⋮ Fourier series: New results and unsolved problems ⋮ Approximation of functions of class \(C_{\beta,\infty}\psi\) by linear means of their Fourier series ⋮ Mean-square rate of convergence of orthogonal series ⋮ Approximation of weakly differentiable periodic functions




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