Inequalities for Lerch transcendent function

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2023-05-01 DOI:10.5556/j.tkjm.54.2023.3988

S. Dragomir

引用次数: 0

Abstract

Some fundamental inequalities for Lerch transcendent function with positive terms by utilising certain classical results due to Hölder, Čebyšev, Grüss and others, are established. Some particular cases of interest for Polylogarithm function, Hurwitz zeta function and Legendre chi function are also given.

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lech超越函数的不等式

利用Hölder、Čebyšev、gr s等的经典结果，建立了具有正项的Lerch超越函数的一些基本不等式。给出了多对数函数、Hurwitz zeta函数和Legendre chi函数的一些特殊情况。

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

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.

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