{"title":"利用\\(\\psi \\) -分数积分反演Hermite-Hadamard不等式","authors":"Tariq A. Aljaaidi, D. Pachpatte","doi":"10.30538/PSRP-EASL2020.0053","DOIUrl":null,"url":null,"abstract":"Our purpose in this paper is to use \\(\\psi-\\)Riemann-Liouville fractional integral operator which is the fractional integral of any function with respect to another increasing function to establish some new fractional integral inequalities of Hermite-Hadamard, involving concave functions. Using the concave functions, we establish some new fractional integral inequalities related to the Hermite-Hadamard type inequalities via \\(\\psi-\\)Riemann-Liouville fractional integral operator.","PeriodicalId":11518,"journal":{"name":"Engineering and Applied Science Letters","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Reverse Hermite-Hadamard's inequalities using \\\\(\\\\psi \\\\)-fractional integral\",\"authors\":\"Tariq A. Aljaaidi, D. Pachpatte\",\"doi\":\"10.30538/PSRP-EASL2020.0053\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Our purpose in this paper is to use \\\\(\\\\psi-\\\\)Riemann-Liouville fractional integral operator which is the fractional integral of any function with respect to another increasing function to establish some new fractional integral inequalities of Hermite-Hadamard, involving concave functions. Using the concave functions, we establish some new fractional integral inequalities related to the Hermite-Hadamard type inequalities via \\\\(\\\\psi-\\\\)Riemann-Liouville fractional integral operator.\",\"PeriodicalId\":11518,\"journal\":{\"name\":\"Engineering and Applied Science Letters\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Engineering and Applied Science Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30538/PSRP-EASL2020.0053\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering and Applied Science Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30538/PSRP-EASL2020.0053","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Reverse Hermite-Hadamard's inequalities using \(\psi \)-fractional integral
Our purpose in this paper is to use \(\psi-\)Riemann-Liouville fractional integral operator which is the fractional integral of any function with respect to another increasing function to establish some new fractional integral inequalities of Hermite-Hadamard, involving concave functions. Using the concave functions, we establish some new fractional integral inequalities related to the Hermite-Hadamard type inequalities via \(\psi-\)Riemann-Liouville fractional integral operator.
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