{"title":"Hermite-Hadamard型不等式，凸随机过程和katugampolattraction积分","authors":"Jorge E. Hernández H., J. Gómez","doi":"10.18273/revint.v36n2-2018005","DOIUrl":null,"url":null,"abstract":". In this work we present some Hermite-Hadamard type ine-qualities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann integral. Also, a refinement of the aforementioned inequality is presented.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Hermite-Hadamard type inequalities, convex stochastic processes and Katugampolafractional integral\",\"authors\":\"Jorge E. Hernández H., J. Gómez\",\"doi\":\"10.18273/revint.v36n2-2018005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this work we present some Hermite-Hadamard type ine-qualities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann integral. Also, a refinement of the aforementioned inequality is presented.\",\"PeriodicalId\":402331,\"journal\":{\"name\":\"Revista Integración\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista Integración\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18273/revint.v36n2-2018005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Integración","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18273/revint.v36n2-2018005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hermite-Hadamard type inequalities, convex stochastic processes and Katugampolafractional integral
. In this work we present some Hermite-Hadamard type ine-qualities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann integral. Also, a refinement of the aforementioned inequality is presented.
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