Almost everywhere convergence and divergence of Cesàro means with varying parameters of Walsh

Almost everywhere convergence and divergence of Cesàro means with varying parameters of Walsh–Fourier series

Published:2021-12-29 Issue: Volume: Page:
ISSN:2193-5343
Container-title:Arabian Journal of Mathematics
language:en
Short-container-title:Arab. J. Math.

Author:

Gát György,Goginava Ushangi

Abstract

AbstractIn the present paper, we prove the almost everywhere convergence and divergence of subsequences of Cesàro means with zero tending parameters of Walsh–Fourier series.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40065-021-00356-8.pdf

Reference21 articles.

1. Akhobadze, T.: On the convergence of generalized Cesàro means of trigonometric Fourier series. II. Acta Math. Hungar. 115(1–2), 79–100 (2007)

2. Akhobadze, T.: On the convergence of generalized Cesàro means of trigonometric Fourier series. I. Acta Math. Hungar. 115(1–2), 59–78 (2007)

3. S.V. Bochkarev, Everywhere divergent Fourier series in the Walsh system and in multiplicative systems. (Russian, English) Russ. Math. Surv. 59, No.1, 103-124 (2004)

4. translation from Usp. Mat. Nauk 59, No.1, 103-124 (2003).

5. Fine, J.: Cesàro summability of Walsh-Fourier series. Proc. Nat. Acad. Sci. USA 41, 558–591 (1955)

Cited by 4 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. Almost everywhere divergence of Cesàro means with varying parameters of Walsh–Fourier series;Journal of Mathematical Analysis and Applications;2024-01

2. Summability in Measure of Two-Dimensional Walsh-Fourier Series;Trends in Mathematics;2023-08-10

3. Matrix Summability of Walsh–Fourier Series;Mathematics;2022-07-14

4. Almost everywhere summability of two-dimensional walsh-fourier series;Positivity;2022-07-06