{"title":"关于Holder型不等式的新的积分结果","authors":"Abdelkader Benzidane, H. Yaldiz, Z. Dahmani","doi":"10.24193/MATHCLUJ.2019.1.02","DOIUrl":null,"url":null,"abstract":"In this paper, using fractional integration, we present new fractional integral inequalities related to Holder inequality. We generalise a Wu’s sharpness of Holder inequality for p, q integration. Then, as an application, we propose another way to derive the Holder inequality which is already established by Z. Dahmani on 2012 in General Math. Journal. Also, for our results, the classical Holder inequality is deduced as a special case. MSC 2010. 26D15, 26A33, 60E15.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2019-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New integral results on Holder type inequalities\",\"authors\":\"Abdelkader Benzidane, H. Yaldiz, Z. Dahmani\",\"doi\":\"10.24193/MATHCLUJ.2019.1.02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, using fractional integration, we present new fractional integral inequalities related to Holder inequality. We generalise a Wu’s sharpness of Holder inequality for p, q integration. Then, as an application, we propose another way to derive the Holder inequality which is already established by Z. Dahmani on 2012 in General Math. Journal. Also, for our results, the classical Holder inequality is deduced as a special case. MSC 2010. 26D15, 26A33, 60E15.\",\"PeriodicalId\":39356,\"journal\":{\"name\":\"Mathematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24193/MATHCLUJ.2019.1.02\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/MATHCLUJ.2019.1.02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
In this paper, using fractional integration, we present new fractional integral inequalities related to Holder inequality. We generalise a Wu’s sharpness of Holder inequality for p, q integration. Then, as an application, we propose another way to derive the Holder inequality which is already established by Z. Dahmani on 2012 in General Math. Journal. Also, for our results, the classical Holder inequality is deduced as a special case. MSC 2010. 26D15, 26A33, 60E15.
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