New Hermite–Hadamard Inequalities Concerning Twice Differentiable Generalized ψ-Convex Mappings via Conformable Fractional Integrals

Artion Kashuri and Rozana Liko
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Artion Kashuri: University “Ismail Qemali”
Rozana Liko: University “Ismail Qemali”

A chapter in Approximation and Computation in Science and Engineering, 2022, pp 435-455 from Springer

Abstract: Abstract In this article, we first introduced a new class of generalized ((p1, p2);(ψ1, ψ2))–convex mappings and an interesting lemma regarding Hermite–Hadamard type conformable fractional integral inequalities. By using the notion of generalized ((p1, p2);(ψ1, ψ2))–convexity and lemma as an auxiliary result, some new estimates with respect to Hermite–Hadamard type integral inequalities associated with twice differentiable generalized ((p1, p2);(ψ1, ψ2))–convex mappings via conformable fractional integrals are established. It is pointed out that some new special cases can be deduced from main results of the article. At the end, some applications to special means are also given.

Keywords: Hermite–Hadamard inequality; Hölder’s inequality; Minkowski inequality; Power mean inequality; Conformable fractional integrals; m-invex; Primary: 26A51; Secondary: 26A33, 26D07, 26D10, 26D15 (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-84122-5_23

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DOI: 10.1007/978-3-030-84122-5_23

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