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On the Absolute Convergence of Fourier Series

On the Absolute Convergence of Fourier Series The necessary and sufficient conditions of the absolute convergence of a trigonometric Fourier series are established for continuous 2π-periodic functions which in [0, 2π] have a finite number of intervals of convexity, and whose nth Fourier coefficients are O(ω(l/n; f)/n), where ω(δ f) is the continuity modulus of the function f. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal Springer Journals

On the Absolute Convergence of Fourier Series

Karchava, T.
Georgian Mathematical Journal , Volume 4 (4) – Oct 18, 2004
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References (5)

Publisher
Springer Journals
Copyright
Copyright © 1997 by Plenum Publishing Corporation
Subject
Mathematics; Mathematics, general
ISSN
1072-947X
eISSN
1572-9176
DOI
10.1023/A:1022990412102
Publisher site
See Article on Publisher Site

Abstract

The necessary and sufficient conditions of the absolute convergence of a trigonometric Fourier series are established for continuous 2π-periodic functions which in [0, 2π] have a finite number of intervals of convexity, and whose nth Fourier coefficients are O(ω(l/n; f)/n), where ω(δ f) is the continuity modulus of the function f.

Journal

Georgian Mathematical Journal – Springer Journals

Published: Oct 18, 2004

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