Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals

被引：7
|
作者：
Sun, Wenbing [1 ]
Xu, Rui [1 ]
机构：
[1] Shaoyang Univ, Sch Sci, Shaoyang 422000, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 10期
关键词：
Hermite-Hadamard type inequality; generalized harmonically convex function; Yang's fractal sets; local fractional integral;
D O I：
10.3934/math.2021620
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a new integral identity involving local fractional integral on Yang's fractal sets. Using this integral identity, some new generalized Hermite-Hadamard type inequalities whose function is monotonically increasing and generalized harmonically convex are obtained. Finally, we construct some generalized special means to explain the applications of these inequalities.
引用
收藏
页码：10679 / 10695
页数：17
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