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Refinements of Some Integral Inequalities for -Convex Functions
Mathematical Problems in Engineering Pub Date : 2020-11-21 , DOI: 10.1155/2020/8878342
Ghulam Farid, Yu-Ming Chu, Maja Andrić, Chahn Yong Jung, Josip Pečarić, Shin Min Kang

In this paper, the refinements of integral inequalities for all those types of convex functions are given which can be obtained from -convex functions. These inequalities not only provide refinements of bounds for unified integral operators but also for various associated fractional integral operators containing Mittag–Leffler function. At the same time, presented results give generalizations of many known fractional integral inequalities.

中文翻译:

凸函数的一些积分不等式的提炼

本文给出了所有凸函数类型的积分不等式的细化,可以从 -凸函数。这些不等式不仅为统一的积分算子提供了边界的细化,而且为包含Mittag-Leffler函数的各种相关的分数积分算子提供了边界。同时,给出的结果给出了许多已知分数积分不等式的概括。
更新日期:2020-11-22
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