{"title":"Integral inequalities via general form of Riemann-Liouville fractional integrals","authors":"Ebru Y¨uksel, Erhan Deniz, A. Akdemir","doi":"10.47443/ejm.2022.011","DOIUrl":null,"url":null,"abstract":"The primary goal of this paper is to obtain Hadamard type integral inequalities for a general fractional integral operator. New upper bounds of Hadamard type for a class of m -convex functions are gained with the help of the ω -Riemann-Liouville integral operator. For some special cases, the effectiveness of the procured results are demonstrated by obtaining some particular inequalities.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"62 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Electronic Journal of Mathematics Education","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47443/ejm.2022.011","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"EDUCATION & EDUCATIONAL RESEARCH","Score":null,"Total":0}
引用次数: 0
Abstract
The primary goal of this paper is to obtain Hadamard type integral inequalities for a general fractional integral operator. New upper bounds of Hadamard type for a class of m -convex functions are gained with the help of the ω -Riemann-Liouville integral operator. For some special cases, the effectiveness of the procured results are demonstrated by obtaining some particular inequalities.