{"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}
引用次数: 2
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.
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.
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