L1-approximation of Fourier series of complex-valued functions-Reference-Cited by-同舟云学术

L1-approximation of Fourier series of complex-valued functions

Published:1996 Issue:2 Volume:126 Page:343-353
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Xie T. F.,Zhou S. P.

Abstract

V. B. Stanojevic suggested in her recent paper that it would be of interest to prove a corresponding L1-convergence theorem for Fourier series with complex O-regularly varying quasimonotonc coefficients. The present paper will discuss this question and establish L1-convergence and. furthermore. L1-approximation theorems for complex-valued integrable functions.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

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4. On weighted integrability of trigonometric seriesand L1-convergence of Fourier series;Bary;Proc. Amer. Math. Soc.,1986

5. Convergence of Fourier series with complex quasimonotone coefficients and coefficients of bounded variation of order m

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