Properties of some subsequences of the Walsh-Kaczmarz-Dirichlet kernels

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI:10.7153/MIA-2021-24-03

N. Memić

引用次数: 1

Abstract

We study some properties of a family of subsequences of the Walsh-Kaczmarz-Dirichlet kernels. We prove properties related to the L1 norm of the weighted maximal function and to the Fejér means of partial sums of Fourier series obtained by convolution with integrable functions. Mathematics subject classification (2010): 42C10.

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Walsh-Kaczmarz-Dirichlet核的一些子序列的性质

研究了Walsh-Kaczmarz-Dirichlet核的一组子序列的一些性质。证明了与可积函数卷积得到的傅里叶级数的部分和的L1范数和fej均值有关的性质。数学学科分类(2010):42C10。

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 Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.