谐波Euler三乘积均值对信号的逼近

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2021-01-28 DOI:10.18311/JIMS/2021/26084

S. Sonker, Paramjeet Sangwan

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引用次数: 2

摘要

本文讨论了用傅里叶及其共轭级数的H . e . e θ乘积均值逼近信号的问题。在一般条件下，建立并证明了基于H 1、e θ、e θ乘积可和性的新定理。所建立的定理扩展、推广和改进了关于傅里叶级数及其共轭级数可和性的各种已有结果。

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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Approximation of Signals by Harmonic-Euler Triple Product Means

Our paper deals with the approximation of signals by H 1 .E θ .E θ product means of Fourier and its conjugate series. New theorems based on H 1 .E θ .E θ product summability have been established and proved under general conditions. The established theorems extend, generalize and improve various existing results on summability of Fourier series and its conjugate series.

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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.