{"title":"微分扩展为s-(?，m)-预逆的函数的分数阶Hermite-Hadamard型不等式","authors":"B. Meftah, A. Souahi","doi":"10.11121/ijocta.01.2019.00574","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the class of extended s-(alpha,m)-preinvex functions. We establish a new fractional integral identity and derive some new fractional Hermite-Hadamard type inequalities for functions whose derivatives are in this novel class of function.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"56 1","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2019-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Fractional Hermite-Hadamard type inequalities for functions whose derivatives are extended s-(?,m)-preinvex\",\"authors\":\"B. Meftah, A. Souahi\",\"doi\":\"10.11121/ijocta.01.2019.00574\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce the class of extended s-(alpha,m)-preinvex functions. We establish a new fractional integral identity and derive some new fractional Hermite-Hadamard type inequalities for functions whose derivatives are in this novel class of function.\",\"PeriodicalId\":37369,\"journal\":{\"name\":\"International Journal of Optimization and Control: Theories and Applications\",\"volume\":\"56 1\",\"pages\":\"\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2019-01-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Optimization and Control: Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.11121/ijocta.01.2019.00574\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Optimization and Control: Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11121/ijocta.01.2019.00574","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Fractional Hermite-Hadamard type inequalities for functions whose derivatives are extended s-(?,m)-preinvex
In this paper, we introduce the class of extended s-(alpha,m)-preinvex functions. We establish a new fractional integral identity and derive some new fractional Hermite-Hadamard type inequalities for functions whose derivatives are in this novel class of function.
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