{"title":"前逆函数的新不等式","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":"{\"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}","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}
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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