{"title":"Fejér-Hermite-Hadamard inequalities for $n$-times differentiable preinvex functions","authors":"S. Mehmood, F. Zafar, M. Latif, N. Yasmin","doi":"10.32513/tmj/19322008137","DOIUrl":null,"url":null,"abstract":"In this paper, some new estimates of Hermite-Hadamard-Fejer inequality for $n$-times differentiable preinvex functions are established. It is noteworthy that the weighted estimates of the left and right hand side of the Hermite-Hadamard inequalities involving generalized preinvex functions doesn't exist previously.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tbilisi Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32513/tmj/19322008137","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, some new estimates of Hermite-Hadamard-Fejer inequality for $n$-times differentiable preinvex functions are established. It is noteworthy that the weighted estimates of the left and right hand side of the Hermite-Hadamard inequalities involving generalized preinvex functions doesn't exist previously.