两种 s 对数凸函数的奥斯特洛夫斯基式积分不等式

Pub Date : 2024-04-24 DOI:10.1515/gmj-2024-2018

B. Xi, Shuhong Wang, Feng Qi

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引用次数: 0

摘要

在这篇论文中，作者为 s 对数凸函数建立了几个奥斯特洛夫斯基类型的积分不等式。这些积分不等式修改了论文 [A. O. Akdemir and M. Tunç, Ostrowski type inequalities for s-logithmically convex functions] 中两个主要定理的条件并纠正了其中的错误。O. Akdemir and M. Tunç, Ostrowski type inequalities for s-logarithmically convex functions in the second sense with applications, Georgian Math.22 (2015), no. 1, 1-7].

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Integral inequalities of Ostrowski type for two kinds of s-logarithmically convex functions

In the paper, the authors establish several integral inequalities of the Ostrowski type for s-logarithmically convex functions. These integral inequalities modify the conditions and correct errors in two main theorems of the paper [A. O. Akdemir and M. Tunç, Ostrowski type inequalities for s-logarithmically convex functions in the second sense with applications, Georgian Math. J. 22 (2015), no. 1, 1–7].

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