On the convergence factor of a Fourier series-Reference-Cited by-同舟云学术

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On the convergence factor of a Fourier series

Published:1967-01 Issue:1 Volume:63 Page:129-132
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Mohanty R.

Abstract

Definition A. Let 0 < λ0 < λ1 < λ2 < …, λn → ∞ and suppose that

is a given infinite series write

where λm ≤ ω > λm+1. Also write for k > 0,.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. On the Summability of Fourier's Series

2. THE SUMMABILITY OF A FOURIER SERIES BY LOGARITHMIC MEANS

3. ON THE DETERMINATION OF THE JUMP OF A FUNCTION BY ITS FOURIER COEFFICIENTS

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the absolute summability of some series related to a Fourier series;Mathematical Proceedings of the Cambridge Philosophical Society;1970-01

2. On the convergence factor of a Fourier series and a differentiated Fourier series;Mathematical Proceedings of the Cambridge Philosophical Society;1969-01

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