Fractional Versions of Hadamard-Type Inequalities for Strongly Exponentially α,h−m-Convex Functions

Shasha Li, Ghulam Farid, Atiq Ur Rehman, Hafsa Yasmeen and Ahmet Ocak Akdemir

Journal of Mathematics, 2021, vol. 2021, 1-23

Abstract: In this article, we prove some fractional versions of Hadamard-type inequalities for strongly exponentially α,h−m-convex functions via generalized Riemann–Liouville fractional integrals. The outcomes of this paper provide inequalities of strongly convex, strongly m-convex, strongly s-convex, strongly α,m-convex, strongly s,m-convex, strongly h−m-convex, strongly α,h−m-convex, strongly exponentially convex, strongly exponentially m-convex, strongly exponentially s-convex, strongly exponentially s,m-convex, strongly exponentially h−m-convex, and exponentially α,h−m-convex functions. The error estimations are also studied by applying two fractional integral identities.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2555974

DOI: 10.1155/2021/2555974

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