当前位置: X-MOL 学术Fractals › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
PROPERTIES AND INTEGRAL INEQUALITIES INVOLVING WITH THE GENERALIZED s-TYPE PREINVEX MAPPINGS IN FRACTAL SPACE
Fractals ( IF 4.7 ) Pub Date : 2022-09-12 , DOI: 10.1142/s0218348x22501584
SHUHONG YU 1 , TINGSONG DU 1, 2 , BO YU 1, 2
Affiliation  

As a generalization of the convex mappings, the generalized s-type preinvex mappings are firstly introduced. Their meaningful properties are then investigated and the Hermite–Hadamard-type integral inequalities via the newly proposed mappings in fractal space are developed. In accordance with the newly proposed identity with three parameters, it is interesting to present certain integral inequalities with regard to the mappings whose first-order derivatives in absolute value belong to the generalized s-type preinvexity. As applications, on the basis of local fractional calculus, certain inequalities in view of numerical integration, 𝜀-type special means, as well as moments of random variable, are acquired, respectively.



中文翻译:

分形空间中广义 s 型 PREINVEX 映射的性质和积分不等式

作为凸映射的推广,广义s首先介绍了 -type preinvex 映射。然后研究了它们有意义的性质,并通过分形空间中新提出的映射开发了 Hermite-Hadamard 型积分不等式。根据新提出的三参数恒等式,对于绝对值的一阶导数属于广义的映射,提出某些积分不等式是很有趣的s型前逆性。作为应用,在局部分数阶微积分的基础上,考虑到数值积分的某些不等式,𝜀分别获得-型特殊手段和随机变量矩。

更新日期:2022-09-12
down
wechat
bug