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

Yuping Yu, Jun Liu and Tingsong Du

Chaos, Solitons & Fractals, 2022, vol. 161, issue C

Abstract: 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.

Keywords: Local fractional integrals; Generalized (s, P)-preinvexity; Fractal sets (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005380

DOI: 10.1016/j.chaos.2022.112328

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