NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR TWICE DIFFERENTIABLE FUNCTIONS VIA GENERALIZED FRACTIONAL INTEGRALS
Turkish Journal of Inequalities, vol.6, no.2, pp.27-39, 2022 (Scopus)
- Publication Type: Article / Article
- Volume: 6 Issue: 2
- Publication Date: 2022
- Journal Name: Turkish Journal of Inequalities
- Journal Indexes: Scopus
- Page Numbers: pp.27-39
- Keywords: Convex function, Fractional integral operators, Hermite-Hadamard inequality, Midpoint inequality
- Kocaeli University Affiliated: No
Abstract
In this paper we first obtain a new generalized identities for twice differentiable mappings involving newly defined generalized fractional integrals. Then by using this equality, we establish some Hermite-Hadamard type inequalities for functions whose second derivatives in absolute value are convex.