Nielsen函数的调和均值不等式的另一种证明

Pub Date : 2021-08-09 DOI:10.47443/cm.2021.0028

K. Nantomah

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引用次数: 0

摘要

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。

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

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.

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