L1-convergence of Fourier series-Reference-Cited by-同舟云学术

L1-convergence of Fourier series

Published:1986-12 Issue:3 Volume:41 Page:376-390
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Chen Chang-Pao

Abstract

AbstractFor an integrable function f on T, we introduce a modified partial sum and establish its L1-convergence property. The relation between the sum and L1-convergence classes is also established. As a corollary, a new L1-convergence class is obtained. It is shown that this class covers all known L1-convergence classes.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference19 articles.

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2. On a sufficient condition of Sidon for the integrability of trigonometric series;Telyakovskii;Mat. Zametki,1973

3. Tauberian Conditions for L 1 -Convergence of Fourier Series

4. Sur l'ordre de grandeur des coefficients de la sèrie de Fourier-Lebesgue;Kolmogorov;Bull. Acad. Polon. Sér. Sci. Math. Astronom. Phys.,1923

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