{"title":"黎曼-刘维尔分数积分的一般形式的积分不等式","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":"{\"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}","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}
Integral inequalities via general form of Riemann-Liouville fractional integrals
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.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
