Fractional Hadamard-type inequalities for refined (α, h - m) -p-convex functions and their consequences

被引：0

作者：

Zahra, Moquddsa ^{[1
]}

Ashraf, Muhammad ^{[1
]}

Farid, Ghulam ^{[2
]}

Hussain, Nawab ^{[3
]}

机构：

[1] Univ Wah, Dept Math, Wah Cantt, Pakistan

[2] COMSATS Univ Islamabad, Dept Math, Attock Campus, Islamabad 43600, Pakistan

[3] King AbdulAziz Univ, Dept Math, Jeddah, Saudi Arabia

来源：

FILOMAT | 2024年 / 38卷 / 15期

关键词：

INTEGRAL-INEQUALITIES;

D O I：

10.2298/FIL2415463Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new class of convex functions namely refined (alpha, h - m) -p-convex functions is introduced. By utilizing this new definition, several refinements of different kinds of convex functions are derived. Further, Riemann-Liouville fractional integral operator is utilized to establish Hadamard-type inequalities for this class of convex functions. Furthermore, their connection with already known fractional Hadamard inequalities is established.

引用

页码：5463 / 5474

页数：12

共 34 条

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