An alternative proof of a harmonic mean inequality for Nielsen’s beta function

IF 0.4 4区数学 Q4 MATHEMATICS

Contributions To Discrete Mathematics Pub Date : 2021-08-09 DOI:10.47443/cm.2021.0028

K. Nantomah

引用次数: 0

Abstract

Abstract In this short note, an alternative proof of a harmonic mean inequality involving Nielsen’s beta function is provided. This inequality was first posed as a conjecture by Nantomah [Bull. Int. Math. Virtual Inst. 9 (2019) 263–269] and subsequently proved by Matejı́čka [Probl. Anal. Issues Anal. 8(26) (2019) 105–111]. The present proof is more compact and relatively simple.

查看原文本刊更多论文

Nielsen函数的调和均值不等式的另一种证明

在这个简短的笔记中，提供了涉及Nielsen的beta函数的调和平均不等式的另一种证明。这个不等式最初是由Nantomah [Bull]提出的一个猜想。Int。数学。虚拟研究所，9(2019)263-269]，随后由matejyi æ ka [Probl.]证明。分析的议题通报。8(26)(2019)105-111]。现在的证明更紧凑，也相对简单。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Contributions To Discrete Mathematics MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Contributions to Discrete Mathematics (ISSN 1715-0868) is a refereed e-journal dedicated to publishing significant results in a number of areas of pure and applied mathematics. Based at the University of Calgary, Canada, CDM is free for both readers and authors, edited and published online and will be mirrored at the European Mathematical Information Service and the National Library of Canada.