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Bounds of a unified integral operator for (s,m)-convex functions and their consequences
AIMS Mathematics ( IF 1.8 ) Pub Date : 2020-06-28 , DOI: 10.3934/math.2020353
Zitong He , , Xiaolin Ma , Ghulam Farid , Absar Ul Haq , Kahkashan Mahreen , ,

The unified integral operator presented in Definition 4 produces several kinds of known fractional and conformable integral operators. The goal of this paper is to obtain bounds of this unified integral operator by using the definition of (s,m)-convexity. The resulting inequalities in specific cases represent the bounds of many known fractional and conformable fractional integral operators in a compact form.

中文翻译:

sm)凸函数的统一积分算子的界及其结果。

定义4中给出的统一积分算子产生了几种已知的分数和一致积分算子。本文的目的是通过使用(sm)凸性的定义来获得该统一积分算子的界。在特定情况下产生的不等式以紧凑形式表示许多已知的分数和适形分数积分算子的界限。
更新日期:2020-07-20
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