{"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}
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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.
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.
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