Study on Hermite-Hadamard-type inequalities using a new generalized fractional integral operator

被引：0

作者：

Jinbo Ni

Gang Chen

Hudie Dong

机构：

[1] Anhui University of Science and Technology,School of Mathematics and Big Data

来源：

Journal of Inequalities and Applications | / 2023卷

关键词：

Fractional integral operator; Hermite-Hadamard-type inequality; Convex function; 26A09; 26A33; 26D10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this study, a new definition of the fractional integral operator is first proposed, which generalizes some well-known fractional integral operators. Then, by using this newly generalized fractional integral operator, we proved several new Hermite-Hadamard-type inequalities for convex functions. Finally, we provided some corollaries to show that the current results extend and enrich the previous results in the literature.

引用

共 50 条

[1] Study on Hermite-Hadamard-type inequalities using a new generalized fractional integral operator
Ni, Jinbo
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[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
[2] Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
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[J]. OPEN MATHEMATICS, 2020, 18 : 794 - 806
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[9] Refinements and Applications of Hermite-Hadamard-Type Inequalities Using Hadamard Fractional Integral Operators and GA-Convexity
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