{"title":"New generalization of midpoint type inequalities for fractional integral","authors":"H. Budak, Rabia Kapucu","doi":"10.47743/ANSTIM.2021.00009","DOIUrl":null,"url":null,"abstract":"In this paper, we firstly obtain a new generalized identity for Riemann-Liouville fractional integrals. Then, utilizing this equality, we obtain some Midpoint type inequalities for convex and concave functions. We also give several remarks and corollaries as spacial cases.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"113-128"},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47743/ANSTIM.2021.00009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 5
Abstract
In this paper, we firstly obtain a new generalized identity for Riemann-Liouville fractional integrals. Then, utilizing this equality, we obtain some Midpoint type inequalities for convex and concave functions. We also give several remarks and corollaries as spacial cases.
期刊介绍:
This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.