广义椭圆积分与广义Grötzsch双参数函数

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI:10.7153/jmi-2022-16-45

Jiezhu Lin, Qiu ing Zhang, Xiaohui Zhang

{"title":"广义椭圆积分与广义Grötzsch双参数函数","authors":"Jiezhu Lin, Qiu ing Zhang, Xiaohui Zhang","doi":"10.7153/jmi-2022-16-45","DOIUrl":null,"url":null,"abstract":". In this paper, we mainly study some monotonicity properties for the generalized ( p , q ) - elliptic integrals and the generalized Gr¨otzsch function. As applications, we obtain some sharp functional inequalities for the generalized Gr¨otzsch function and thus get improvements and extensions of some previous results.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Generalized elliptic integrals and generalized Grötzsch function with two parameters\",\"authors\":\"Jiezhu Lin, Qiu ing Zhang, Xiaohui Zhang\",\"doi\":\"10.7153/jmi-2022-16-45\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we mainly study some monotonicity properties for the generalized ( p , q ) - elliptic integrals and the generalized Gr¨otzsch function. As applications, we obtain some sharp functional inequalities for the generalized Gr¨otzsch function and thus get improvements and extensions of some previous results.\",\"PeriodicalId\":49165,\"journal\":{\"name\":\"Journal of Mathematical Inequalities\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2022-01-01\",\"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-2022-16-45\",\"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-2022-16-45","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

。本文主要研究广义(p, q) -椭圆积分和广义Gr¨otzsch函数的单调性。作为应用，我们得到了广义Gr¨otzsch函数的一些尖锐泛函不等式，从而得到了前人一些结果的改进和推广。

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

Generalized elliptic integrals and generalized Grötzsch function with two parameters

. In this paper, we mainly study some monotonicity properties for the generalized ( p , q ) - elliptic integrals and the generalized Gr¨otzsch function. As applications, we obtain some sharp functional inequalities for the generalized Gr¨otzsch function and thus get improvements and extensions of some previous results.

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.