On the fractional integral inclusions having exponential kernels for interval-valued convex functions

被引：43

作者：

Zhou, Taichun ^{[1
]}

Yuan, Zhengrong ^{[1
]}

Du, Tingsong ^{[1
,2
]}

机构：

[1] China Three Gorges Univ, Dept Math, Coll Sci, Yichang, Peoples R China

[2] China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang, Peoples R China

来源：

MATHEMATICAL SCIENCES | 2023年 / 17卷 / 02期

关键词：

Fractional integrals; Interval-valued functions; Hermite-Hadamard's inequality; HADAMARD TYPE INEQUALITIES; HERMITE-HADAMARD; OPTIMIZATION; FEJER;

D O I：

10.1007/s40096-021-00445-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of the present paper is to establish certain fractional integral inclusions having exponential kernels, which are related to the Hermite-Hadamard, Hermite-Hadamard-Fejer, and Pachpatte type inequalities. These results allow us to obtain a new class of inclusions which can be viewed as some substantial generalizations of the previously reported results. Also, the graphical representations for the results are utilized to identify the correctness of the investigated inclusion relations that occur with the change of the parameter alpha.

引用

页码：107 / 120

页数：14

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