Hadamard and Fejer-Hadamard inequalities for extended generalized fractional integrals involving special functions

被引：38
|
作者：
Kang, Shin Min [1 ,2 ,3 ]
Farid, Ghulam [4 ]
Nazeer, Waqas [5 ]
Tariq, Bushra [6 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math, Jinju, South Korea
[2] Gyeongsang Natl Univ, Res Inst Nat Sci, Jinju, South Korea
[3] China Med Univ, Ctr Gen Educ, Taichung, Taiwan
[4] COMSATS Univ, Dept Math, Attock Campus, Islamabad, Pakistan
[5] Univ Educ, Div Sci & Technol, Lahore, Pakistan
[6] GGPS Kamalpur Alam, Attock, Pakistan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年
关键词：
Convex function; m-convex functions; Hadamard inequality; Fejer-Hadamard inequality; Fractional integrals; Extended generalized Mittag-Leffler function;
D O I：
10.1186/s13660-018-1701-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove the Hadamard and the Fejer-Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function. The extended generalized Mittag-Leffler function includes many known special functions. We have several such inequalities corresponding to special cases of the extended generalized Mittag-Leffler function. Also there we note the known results that can be obtained.
引用
收藏
页数：11
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