Hermite–Hadamard-type inequalities involving ψ-Riemann–Liouville fractional integrals via s-convex functions

Abstract

In this paper, we establish some new Hermite–Hadamard-type inequalities involving ψ-Riemann–Liouville fractional integrals via s-convex functions in the second sense. Meanwhile, we present many useful estimates on these types of new Hermite–Hadamard-type inequalities. Finally, we give some applications to special means of real numbers.

RETRACTED ARTICLE: Hermite–Hadamard-type inequalities for $\eta _{h}$-convex functions via ψ-Riemann–Liouville fractional integrals

“…In this article we established the Hermite-Hadamard type inequalities for η h convex functions. The main motivation of the article is [16]. The Hermite-Hadamard inequality derived here involved ψ-Riemann-Liouville fractional integrals.…”

Retraction Note: Hermite–Hadamard-type inequalities for $\eta _{h}$-convex functions via ψ-Riemann–Liouville fractional integrals

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The Editor in chief has retracted this article because of significant overlap with an earlier publication [1]. An investigation by the publisher found irregularities in the peer review process.

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On Extended Convex Functions via Incomplete Gamma Functions

“…It is always appreciable to derive more version of inequalities for generalized convexities. For some important generalization, we refer [13,14]. Fractional calculus also provides some broader variety to deal real-world problems.…”