A Note on $$L^1$$ -Convergence of Fourier Series with Riesz Mean

IF 0.6 4区数学 Q3 MATHEMATICS Mathematical Notes Pub Date : 2024-07-05 DOI:10.1134/s000143462403009x

H. S. Özarslan, M. Ö. Şakar

引用次数: 0

Abstract

In this paper, the problem of $L^1$-convergence of Fourier series with quasi-monotone coefficients is handled by using the $(\bar{N},p_n)$-mean. Also, an example is given about the Fourier series of a signal (function) $f$ and its $(\bar{N},p_n)$ mean.

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关于具有里兹均值的傅里叶级数的 $$L^1$$ 收敛性的说明

Abstract 本文通过使用 $(\bar{N},p_n)$ - 平均值来处理具有准单调系数的傅里叶级数的 $L^1$- 收敛性问题。此外，还给出了一个关于信号（函数）$f$的傅里叶级数及其$(\bar{N},p_n)$均值的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.