CERTAIN ERROR BOUNDS ON THE BULLEN TYPE INTEGRAL INEQUALITIES IN THE FRAMEWORK OF FRACTAL SPACES

被引：6
|
作者：
Yu, Yuping
Du, Tingsong [1 ,2 ]
机构：
[1] China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443002, Peoples R China
[2] China Three Gorges Univ, Coll Sci, Dept Math, Yichang 443002, Peoples R China
来源：
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2022年 / 2022卷
关键词：
Bullen type inequalities; Generalized h-convexity; Local fractional integrals; HERMITE-HADAMARD INEQUALITY; S-CONVEX;
D O I：
10.23952/jnfa.2022.24
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By virtue of Yang's fractal sets R-Pi (0 < Pi <= 1), this paper is devoted to studying a number of integral inequalities, which are associate with the celebrated Bullen type inequality. To this end, an integral equality via local differentiable mappings is presented from which we obtain certain error estimations in connection with the Bullen type inequalities. Moreover, we provide three examples to identify the correctness of the outcomes. Considering the applications of the derived findings, we investigate several local fractional integral inequalities for Pi-type special means, numerical integrations, and extended probability distribution mappings, respectively.
引用
收藏
页数：20
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