{"title":"An alternative proof of a harmonic mean inequality for Nielsen’s beta function","authors":"K. Nantomah","doi":"10.47443/cm.2021.0028","DOIUrl":null,"url":null,"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.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":"510 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2021-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Contributions To Discrete Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.47443/cm.2021.0028","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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。
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.
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