On the relation between Lebesgue summability and some other summation methods

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:411

Article

Vindas, Jasson

关键词: Fourier series;    Lebesgue summability;    Cesaro summability;    Abel summability;    Riemann summability;    (gamma, kappa) summability;    Tauberian theorems;   

DOI  :  10.1016/j.jmaa.2013.09.034

来源: Elsevier

【 摘 要 】

It is shown that if Sigma(N)(n=1)n vertical bar c(n)vertical bar = O(N), then Lebesgue summability, (C, beta) summability (beta > 0), Abel summability, Riemann summability, and (gamma, kappa) summability (kappa >= 1) of the series Sigma(infinity)(n=0)c(n) are all equivalent to one another. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free