{"title":"On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators","authors":"H. Budak","doi":"10.11121/ijocta.01.2019.00585","DOIUrl":null,"url":null,"abstract":"In this paper, we first establish weighted versions of Hermite-Hadamard typeinequalities for Riemann-Liouville fractional integral operators utilizingweighted function. Then we obtain some refinements of these inequalities. Theresults obtained in this study would provide generalization of inequalitiesproved in earlier works.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"337 1","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2019-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Optimization and Control: Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11121/ijocta.01.2019.00585","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper, we first establish weighted versions of Hermite-Hadamard typeinequalities for Riemann-Liouville fractional integral operators utilizingweighted function. Then we obtain some refinements of these inequalities. Theresults obtained in this study would provide generalization of inequalitiesproved in earlier works.
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