Muhammad Samraiz, Fakhra Nawaz, Shanhe Wu, Sajid Iqbal, Artion Kashuri
{"title":"On the novel Hermite-Hadamard inequalities for composite inverse functions","authors":"Muhammad Samraiz, Fakhra Nawaz, Shanhe Wu, Sajid Iqbal, Artion Kashuri","doi":"10.2298/fil2309995s","DOIUrl":null,"url":null,"abstract":"The goal of this research is to discover some identities in the general form of the sum of left and right-sided weighted fractional integrals of a function concerning to another function. Using composite convex functions, several fractional Hermite-Hadamard inequalities are derived. The veracity of the inequalities established is demonstrated by drawing graphs of such relationships. Furthermore, our findings generalize a number of previously published outcomes. These findings will aid in the study of fractional differential equations and fractional boundary value problems with unique solutions.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/fil2309995s","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
The goal of this research is to discover some identities in the general form of the sum of left and right-sided weighted fractional integrals of a function concerning to another function. Using composite convex functions, several fractional Hermite-Hadamard inequalities are derived. The veracity of the inequalities established is demonstrated by drawing graphs of such relationships. Furthermore, our findings generalize a number of previously published outcomes. These findings will aid in the study of fractional differential equations and fractional boundary value problems with unique solutions.