(h-m)-convex functions and associated fractional Hadamard and Fejer-Hadamard inequalities via an extended generalized Mittag-Leffler function

被引:0
|
作者
Kang, Shin Min [1 ,2 ,3 ]
Farid, Ghulam [4 ]
Nazeer, Waqas [5 ]
Mehmood, Sajid [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 Islamabad, Dept Math, Attock Campus, Attock, Pakistan
[5] Univ Educ, Div Sci & Technol, Lahore, Pakistan
[6] Govt Boys Primary Sch Sherani, Attock, Pakistan
关键词
Riemann-Lioville fractional integrals; Mittag-Leffler function; Fractional integrals; (h-m)-convex functions; HERMITE-HADAMARD; CONVEX FUNCTIONS;
D O I
10.1186/s13660-019-2019-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to present the Hadamard and the Fejer-Hadamard integral inequalities for (h-m)-convex functions due to an extended generalized Mittag-Leffler function. These results contain several fractional integral inequalities for the well-known fractional integral operators. Also results for the generalized Mittag-Leffler function are mentioned.
引用
收藏
页数:10
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