Certain error bounds on the parameterized integral inequalities in the sense of fractal sets

作者：Yu, Yuping; Liu, Jun; Du, Tingsong^*

来源：Chaos, Solitons and Fractals, 2022, 161: 112328.

DOI：10.1016/j.chaos.2022.112328

• Available online xxxx
• Local fractional integrals
• Fractal sets

The objective of this study is to research certain integral inequalities with a parameter through the generalized (s, P)-preinvex mappings in the frame of fractal space. In view of this, we propose and investigate the conception of the generalized (s, P)-preinvex mappings and their related properties. Meanwhile, we establish an integral identity in the settings of fractal sets and present the parameterized integral inequalities for mappings whose first-order derivatives in absolute value belong to the generalized (s, P)-preinvexity. As applications with regard to local fractional integral operators, we consider applying the derived findings to v-type special means, numerical integrations, as well as extended probability distribution mappings, respectively.