{"title":"$n$-次可微前凸函数的Fejér-Hermite-Adamard不等式","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":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"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\":\" \",\"pages\":\"\"},\"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}","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}
Fejér-Hermite-Hadamard inequalities for $n$-times differentiable preinvex functions
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.
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