Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain

Shuhong Yu, Yunxiu Zhou and Tingsong Du

Chaos, Solitons & Fractals, 2022, vol. 164, issue C

Abstract: The conception of extended fractal left- as well as right-side integral operators and the related Hermite–Hadamard’s integral inequalities along with midpoint are proposed firstly in this paper. A midpoint-type integral identity in fractal domain, involving twice differentiable mappings, is then derived based on the introduced extended fractal integral operators for the objective of deriving fractal midpoint-type integral inequalities with the mappings whose second-order derivatives in absolute value are required to be generalized convex. Finally, a series of fractal outcomes regarding ɛ-type special means, moments of random variable and wave equations are acquired as applications, correspondingly.

Keywords: Generalized convex mappings; Midpoint-type integral inequalities; Fractal theory (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922008402

DOI: 10.1016/j.chaos.2022.112661

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