{"title":"New Inequalities for Preinvex Functions","authors":"H. Kadakal, I. Işcan","doi":"10.36753/mathenot.559247","DOIUrl":null,"url":null,"abstract":"In this study, a new identity for functions defined on an open invex subset of set of real numbers is formed. After that we established Hermite-Hadamard-like inequalities for this type of functions. Then, by using the this identity and the Holder and Power mean integral inequalities we present new type integral inequalities for functions whose powers of fourth derivatives in absolute value are preinvex functions.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Sciences and Applications E-Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36753/mathenot.559247","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 study, a new identity for functions defined on an open invex subset of set of real numbers is formed. After that we established Hermite-Hadamard-like inequalities for this type of functions. Then, by using the this identity and the Holder and Power mean integral inequalities we present new type integral inequalities for functions whose powers of fourth derivatives in absolute value are preinvex functions.
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