{"title":"s-(κ,H)凸函数的分数积分不等式","authors":"Jeet B. Gajera, R. Jana","doi":"10.1515/anly-2023-0061","DOIUrl":null,"url":null,"abstract":"Abstract Establishing a new integral inequality for the Riemann–Liouville fractional integral operator is the main objective of this paper. For twice differentiable s- ( κ , H ) {(\\kappa,H)} -convex functions, we present a number of new inequalities that are connected to the Hermite–Hadamard integral inequality.","PeriodicalId":47773,"journal":{"name":"ANALYSIS","volume":"4 6","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fractional integral inequalities for the s-(κ,H)-convex function\",\"authors\":\"Jeet B. Gajera, R. Jana\",\"doi\":\"10.1515/anly-2023-0061\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Establishing a new integral inequality for the Riemann–Liouville fractional integral operator is the main objective of this paper. For twice differentiable s- ( κ , H ) {(\\\\kappa,H)} -convex functions, we present a number of new inequalities that are connected to the Hermite–Hadamard integral inequality.\",\"PeriodicalId\":47773,\"journal\":{\"name\":\"ANALYSIS\",\"volume\":\"4 6\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-01-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ANALYSIS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/anly-2023-0061\",\"RegionNum\":1,\"RegionCategory\":\"哲学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"0\",\"JCRName\":\"PHILOSOPHY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ANALYSIS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/anly-2023-0061","RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"0","JCRName":"PHILOSOPHY","Score":null,"Total":0}
引用次数: 0
摘要
摘要 本文的主要目的是为黎曼-刘维尔分数积分算子建立新的积分不等式。对于两次可微的 s- ( κ , H ) {(\kappa,H)} -凸函数，我们提出了一些与赫米特-哈达马德积分不等式相关联的新不等式。
Fractional integral inequalities for the s-(κ,H)-convex function
Abstract Establishing a new integral inequality for the Riemann–Liouville fractional integral operator is the main objective of this paper. For twice differentiable s- ( κ , H ) {(\kappa,H)} -convex functions, we present a number of new inequalities that are connected to the Hermite–Hadamard integral inequality.
期刊介绍：
Analysis is the most established and esteemed forum in which to publish short discussions of topics in philosophy. Articles published in Analysis lend themselves to the presentation of cogent but brief arguments for substantive conclusions, and often give rise to discussions which continue over several interchanges. A wide range of topics are covered including: philosophical logic and philosophy of language, metaphysics, epistemology, philosophy of mind, and moral philosophy.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
