{"title":"Further refinements and inequalities of Fejer's type via GA-convexity","authors":"Muhammad Amer Latif, H. Budak, A. Kashuri","doi":"10.11121/ijocta.1482","DOIUrl":null,"url":null,"abstract":"In this study, we introduce some new mappings in connection with Hermite-Hadamard and Fejer type integral inequalities which have been proved using the GA-convex functions. As a consequence, we obtain certain new inequalities of the Fejer type that provide refinements of the Hermite-Hadamard and Fejer type integral inequalities that have already been obtained.","PeriodicalId":505378,"journal":{"name":"An International Journal of Optimization and Control: Theories & Applications (IJOCTA)","volume":"39 10","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"An International Journal of Optimization and Control: Theories & Applications (IJOCTA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11121/ijocta.1482","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, we introduce some new mappings in connection with Hermite-Hadamard and Fejer type integral inequalities which have been proved using the GA-convex functions. As a consequence, we obtain certain new inequalities of the Fejer type that provide refinements of the Hermite-Hadamard and Fejer type integral inequalities that have already been obtained.