{"title":"h-凸上的模糊Ostrowski型不等式","authors":"Ali Hassan, Asif R Khan, F. Mehmood, Maria Khan","doi":"10.28919/jmcs/6794","DOIUrl":null,"url":null,"abstract":"unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. We would like to state well-known Ostrowski inequality via h−convex by using the Fuzzy Reimann integrals. In addition, we establish some Fuzzy Ostrowski type inequalities for the class of functions whose derivatives in absolute values at certain powers are h−convex by Hölder’s and power mean inequalities. This class of h−convex function, which is the generalization of many important classes including class of Godunova-Levin s−convex, s−convex in the 2nd kind and hence contains convex functions. It also contains class of P−convex and class of Godunova-Levin. In this way we also capture the results with respect to convexity of functions.","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"31 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Fuzzy Ostrowski type inequalities via h-convex\",\"authors\":\"Ali Hassan, Asif R Khan, F. Mehmood, Maria Khan\",\"doi\":\"10.28919/jmcs/6794\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. We would like to state well-known Ostrowski inequality via h−convex by using the Fuzzy Reimann integrals. In addition, we establish some Fuzzy Ostrowski type inequalities for the class of functions whose derivatives in absolute values at certain powers are h−convex by Hölder’s and power mean inequalities. This class of h−convex function, which is the generalization of many important classes including class of Godunova-Levin s−convex, s−convex in the 2nd kind and hence contains convex functions. It also contains class of P−convex and class of Godunova-Levin. In this way we also capture the results with respect to convexity of functions.\",\"PeriodicalId\":36607,\"journal\":{\"name\":\"Journal of Mathematical and Computational Science\",\"volume\":\"31 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical and Computational Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.28919/jmcs/6794\",\"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":"Journal of Mathematical and Computational Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/jmcs/6794","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: 1
摘要
在任何媒介上不受限制地使用、分发和复制,只要正确地引用原创作品。摘要我们想用模糊黎曼积分通过h−凸来表示著名的Ostrowski不等式。此外,对于一类导数在一定幂下的绝对值为h−凸的函数,我们用Hölder和幂均不等式建立了一些模糊Ostrowski型不等式。这类h -凸函数,是许多重要类的推广,包括Godunova-Levin s -凸类,第二类s -凸类,因此包含凸函数。它还包含P−凸类和Godunova-Levin类。用这种方法,我们也得到了关于函数的凸性的结果。
unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. We would like to state well-known Ostrowski inequality via h−convex by using the Fuzzy Reimann integrals. In addition, we establish some Fuzzy Ostrowski type inequalities for the class of functions whose derivatives in absolute values at certain powers are h−convex by Hölder’s and power mean inequalities. This class of h−convex function, which is the generalization of many important classes including class of Godunova-Levin s−convex, s−convex in the 2nd kind and hence contains convex functions. It also contains class of P−convex and class of Godunova-Levin. In this way we also capture the results with respect to convexity of functions.