SOME NEW FRACTIONAL INTEGRAL INEQUALITIES FOR (h1, h2)-CONVEX FUNCTIONS

被引：0
|
作者：
Han, Xiaoyue [1 ]
Xu, Run [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China
来源：
MATHEMATICAL FOUNDATIONS OF COMPUTING | 2025年 / 8卷 / 01期
关键词：
(h(1); h(2))-convex functions; h(2))-concave functions; Hermite-Hadamard integral inequalities; Hermite-Hadamard-Fejer integral inequalities; Atangana-Baleanu integral operators; FEJER TYPE INEQUALITIES; CONVEX-FUNCTIONS;
D O I：
10.3934/mfc.2023040
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, some Hermite-Hadamard integral inequalities and Hermite-Hadamard-Fejer integral inequalities involving AtanganaBaleanu fractional integral operators via (h(1), h(2))-convex functions and (h(1), h(2))-concave functions are established. Then, according to an integral equation with AtanganaBaleanu fractional integral operators, some Hermite-Hadamard integral inequalities for second order differentiable convex maps are given.
引用
收藏
页码：89 / 112
页数：24
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