{"title":"Generalized Simpson-like type integral inequalities for twice differentiable convex functions via Riemann-Liouville integrals","authors":"Jaekeun Park","doi":"10.12988/IJMA.2015.5234","DOIUrl":null,"url":null,"abstract":"In this paper, by setting up a generalized integral identity for differentiable functions via Riemann-Liouville fractional integrals, the author derive new estimates on generalization of Simpson-like types inequalities for functions whose derivatives in the absolute value at certain powers are convex and s-convex in the second sense. Mathematics Subject Classification: 26A51, 26A33, 26D10","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"166 Pt 3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/IJMA.2015.5234","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, by setting up a generalized integral identity for differentiable functions via Riemann-Liouville fractional integrals, the author derive new estimates on generalization of Simpson-like types inequalities for functions whose derivatives in the absolute value at certain powers are convex and s-convex in the second sense. Mathematics Subject Classification: 26A51, 26A33, 26D10