{"title":"利用不同类型的凸性推广Ostrowski型不等式","authors":"S. Garoiu, B. Vasian","doi":"10.31926/but.mif.2020.13.62.2.12","DOIUrl":null,"url":null,"abstract":"In this paper we establish some Ostrowski type inequalities using some classes of convex functions. We will use the following types of convexity: (α, m, h)-convexity, log-convexity and the Arithmetic-Harmonic convexity(AHconvexity).","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":"29 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalizations of the Ostrowski type inequalities using different types of convexity\",\"authors\":\"S. Garoiu, B. Vasian\",\"doi\":\"10.31926/but.mif.2020.13.62.2.12\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we establish some Ostrowski type inequalities using some classes of convex functions. We will use the following types of convexity: (α, m, h)-convexity, log-convexity and the Arithmetic-Harmonic convexity(AHconvexity).\",\"PeriodicalId\":38784,\"journal\":{\"name\":\"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics\",\"volume\":\"29 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31926/but.mif.2020.13.62.2.12\",\"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":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2020.13.62.2.12","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
摘要
本文利用几类凸函数建立了Ostrowski型不等式。我们将使用以下类型的凸性:(α, m, h)-凸性,对数凸性和算术调和凸性(AHconvexity)。
Generalizations of the Ostrowski type inequalities using different types of convexity
In this paper we establish some Ostrowski type inequalities using some classes of convex functions. We will use the following types of convexity: (α, m, h)-convexity, log-convexity and the Arithmetic-Harmonic convexity(AHconvexity).