Some Hermite-Jensen-Mercer type inequalities for k-Caputo-fractional derivatives and related results

被引：17
|
作者：
Zhao, Shupeng [1 ]
Butt, Saad Ihsan [2 ]
Nazeer, Waqas [3 ]
Nasir, Jamshed [2 ]
Umar, Muhammad [2 ]
Liu, Ya [4 ]
机构：
[1] Huarong Secur Co LTD, Sichuan Branch, Chengdu, Peoples R China
[2] COMSATS Univ Islamabad, Dept Math, Lahore, Pakistan
[3] GC Univ Lahore, Dept Math, Lahore, Pakistan
[4] Sichuan Normal Univ, Sch Business, Chengdu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Convex functions; Hermite-Hadamard inequalities; Jensen inequality; Jensen-Mercer inequality; k-Caputo fractional derivatives;
D O I：
10.1186/s13662-020-02693-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, certain Hermite-Hadamard-Mercer type inequalities are proved via k-Caputo fractional derivatives. We established some new k-Caputo fractional derivatives inequalities with Hermite-Hadamard-Mercer type inequalities for differentiable mapping psi((n)) whose derivatives in the absolute values are convex.
引用
收藏
页数：17
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