Chrestenson-Levy系统单调递减系数级数的收敛性和可积性

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2017-07-01 DOI:10.18311/JIMS/2017/14850

S. Episkoposian, T. Saghatelyan

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引用次数: 0

摘要

本文研究了Chrestenson-Levy系统的单调递减系数级数的收敛性和可积性问题。特别地，我们推广了一些经典沃尔什系统的结果。由于近年来快速发展的贪婪算法引起了人们对问题的兴趣，其中特别重要的作用是通过具有单调系数的级数来表示函数。

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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Convergence and Integrability of Series with Monotone Decreasing Coefficients by Chrestenson - Levy Systems

In this paper we consider problems of convergence and integrability of series with monotone decreasing coefficients by Chrestenson - Levy systems. In particular we generalize some results, known for classical Walsh systems. Interest in questions arises due to a rapidly developed greedy algorithm in recent years, where in particular the important role played a representation of functions by series with monotone coefficients.

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.