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

页数：17

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