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

被引:0
|
作者
Taichun Zhou
Zhengrong Yuan
Tingsong Du
机构
[1] China Three Gorges University,Department of Mathematics, College of Science
[2] China Three Gorges University,Three Gorges Mathematical Research Center
来源
Mathematical Sciences | 2023年 / 17卷
关键词
Fractional integrals; Interval-valued functions; Hermite–Hadamard’s inequality; 65G40; 28B20; 26A33; 26D15;
D O I
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中图分类号
学科分类号
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–Fejér, 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 α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}.
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页码:107 / 120
页数:13
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