一些涉及k-二函数的函数的完全单调性及其应用

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2021-01-01 DOI:10.7153/JMI-2021-15-17

L. Yin, Li-Guo Huang, Xiuli Lin

{"title":"一些涉及k-二函数的函数的完全单调性及其应用","authors":"L. Yin, Li-Guo Huang, Xiuli Lin","doi":"10.7153/JMI-2021-15-17","DOIUrl":null,"url":null,"abstract":"We present several complete monotonicity properties involving k -digamma function with single parameter. These established results provide a k -generalization for the known results obtained by Burić and Elezović in [5]. Finally, we give an application to the generalized Nielsen’s β -function and pose two open problems. Mathematics subject classification (2010): Primary 33B15; Secondary 26A48, 26A51.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Complete monotonicity of some functions involving k-digamma function with application\",\"authors\":\"L. Yin, Li-Guo Huang, Xiuli Lin\",\"doi\":\"10.7153/JMI-2021-15-17\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present several complete monotonicity properties involving k -digamma function with single parameter. These established results provide a k -generalization for the known results obtained by Burić and Elezović in [5]. Finally, we give an application to the generalized Nielsen’s β -function and pose two open problems. Mathematics subject classification (2010): Primary 33B15; Secondary 26A48, 26A51.\",\"PeriodicalId\":49165,\"journal\":{\"name\":\"Journal of Mathematical Inequalities\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Inequalities\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/JMI-2021-15-17\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Inequalities","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/JMI-2021-15-17","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 2

摘要

给出了涉及单参数k -二格函数的几个完全单调性性质。这些已确定的结果为buriki和elezoviki在b[5]中获得的已知结果提供了k -概化。最后，我们给出了广义Nielsen’s β函数的一个应用，并提出了两个开放问题。数学学科分类(2010):初级33B15;二级26A48, 26A51。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Complete monotonicity of some functions involving k-digamma function with application

We present several complete monotonicity properties involving k -digamma function with single parameter. These established results provide a k -generalization for the known results obtained by Burić and Elezović in [5]. Finally, we give an application to the generalized Nielsen’s β -function and pose two open problems. Mathematics subject classification (2010): Primary 33B15; Secondary 26A48, 26A51.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.