Fractional Hadamard and Fejer-Hadamard inequalities for exponentially m-convex function

被引：0
|
作者：
Mehmood, Sajid [1 ]
Farid, Ghulam [2 ]
机构：
[1] Govt Boys Primary Sch Sherani, Hazro, Attock, Pakistan
[2] COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock, Pakistan
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2021年 / 66卷 / 04期
关键词：
Convex functions; exponentially m-convex functions; Hadamard inequality; Fejer-Hadamard inequality; fractional integral operators; Mittag-Leffler function; MITTAG-LEFFLER FUNCTION; HERMITE-HADAMARD;
D O I：
10.24193/subbmath.2021.4.03
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Fractional integral operators play a vital role in the advancement of mathematical inequalities. The aim of this paper is to present the Hadamard and the Fejer-Hadamard inequalities for generalized fractional integral operators containing Mittag-Leffler function. Exponentially m-convexity is utilized to establish these inequalities. By fixing parameters involved in the Mittag-Leffler function Hadamard and the Fejer-Hadamard inequalities for various well known fractional integral operators can be obtained.
引用
收藏
页码：629 / 640
页数：12
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