h-凸上的模糊Ostrowski型不等式

Q4 Mathematics
Ali Hassan, Asif R Khan, F. Mehmood, Maria Khan
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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。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fuzzy Ostrowski type inequalities via h-convex
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.
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