New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions

被引：0
|
作者：
Xiaoli Qiang
Ghulam Farid
Muhammad Yussouf
Khuram Ali Khan
Atiq Ur Rahman
机构：
[1] Guangzhou University,Institute of Computing Science and Technology
[2] COMSATS University Islamabad,Department of Mathematics
[3] Attock Campus,Department of Mathematics
[4] University of Sargodha,undefined
来源：
Journal of Inequalities and Applications | / 2020卷
关键词：
Harmonically convex function; Hadamard inequality; Fejér–Hadamard inequality; Mittag-Leffler function; Fractional integral operators;
D O I：
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学科分类号：
摘要：
The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions. Fractional integral operators involving an extended generalized Mittag-Leffler function which are further generalized via a monotone increasing function are utilized to get these generalized fractional versions. The results of this paper give several consequent fractional inequalities for harmonically convex functions for known fractional integral operators deducible from utilized generalized fractional integral operators.
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