{"title":"与opial型不等式及其分数形式的差异有关的中值定理","authors":"A. Rehman, G. Farid, Y. Mehboob","doi":"10.7153/fdc-2020-10-13","DOIUrl":null,"url":null,"abstract":"In this paper we analyze the error estimations of Opial-type inequalities for convex functions. The error bounds of these inequalities are studied by using mean value theorems for generalized kernels. Further applications of these results are obtained in fractional calculus by letting appropriate kernels. Mathematics subject classification (2010): 26A51, 26A33, 33E12.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mean value Theorems associated to the differences of Opial-type inequalities and their fractional versions\",\"authors\":\"A. Rehman, G. Farid, Y. Mehboob\",\"doi\":\"10.7153/fdc-2020-10-13\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we analyze the error estimations of Opial-type inequalities for convex functions. The error bounds of these inequalities are studied by using mean value theorems for generalized kernels. Further applications of these results are obtained in fractional calculus by letting appropriate kernels. Mathematics subject classification (2010): 26A51, 26A33, 33E12.\",\"PeriodicalId\":135809,\"journal\":{\"name\":\"Fractional Differential Calculus\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fractional Differential Calculus\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/fdc-2020-10-13\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fractional Differential Calculus","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/fdc-2020-10-13","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mean value Theorems associated to the differences of Opial-type inequalities and their fractional versions
In this paper we analyze the error estimations of Opial-type inequalities for convex functions. The error bounds of these inequalities are studied by using mean value theorems for generalized kernels. Further applications of these results are obtained in fractional calculus by letting appropriate kernels. Mathematics subject classification (2010): 26A51, 26A33, 33E12.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
