Fractional midpoint-type inequalities for twice-differentiable functions

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Date

2023

Journal Title

Journal ISSN

Volume Title

Publisher

Univ Nis, Fac Sci Math

Access Rights

info:eu-repo/semantics/openAccess

Abstract

In this research article, we obtain an identity for twice differentiable functions whose second derivatives in absolute value are convex. By using this identity, we prove several left Hermite-Hadamard-type inequalities for the case of Riemann-Liouville fractional integrals. Furthermore, we provide our results by using special cases of obtained theorems.

Description

Keywords

Hermite-Hadamard inequality, Midpoint inequality, Fractional integral operators, Convex function, Twice differentiable function, Hadamard-Type Inequalities, Integral-Inequalities, Real Numbers, Mappings

Journal or Series

Filomat

WoS Q Value

Q2

Scopus Q Value

Q3

Volume

37

Issue

24

Citation