New Variant of Hermite-Jensen-Mercer Inequalities via Riemann-Liouville Fractional Integral Operators

被引：10

作者：

Kang, Qiong ^{[1
]}

Butt, Saad Ihsan ^{[2
]}

Nazeer, Waqas ^{[3
]}

Nadeem, Mehroz ^{[2
]}

Nasir, Jamshed ^{[2
]}

Yang, Hong ^{[4
]}

机构：

[1] Yangtze Univ, Sch Comp Sci, Jingzhou 434023, Peoples R China

[2] Comsat Univ Islamabad, Lahore Campus, Islamabad, Pakistan

[3] Govt Coll Univ, Dept Math, Lahore, Pakistan

[4] Chengdu Univ, Sch Informat Sci & Engn, Chengdu 610106, Peoples R China

来源：

JOURNAL OF MATHEMATICS | 2020年 / 2020卷

关键词：

CONVEX-FUNCTIONS;

D O I：

10.1155/2020/4303727

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, certain Hermite-Hadamard-Mercer-type inequalities are proved via Riemann-Liouville fractional integral operators. We established several new variants of Hermite-Hadamard's inequalities for Riemann-Liouville fractional integral operators by utilizing Jensen-Mercer inequality for differentiable mapping (sic) whose derivatives in the absolute values are convex. Moreover, we construct new lemmas for differentiable functions Upsilon', Upsilon '', and Upsilon''' and formulate related inequalities for these differentiable functions using variants of Holder's inequality.

引用

页数：14

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