Hermite-Hadamard Type Inequalities for Fractional Integrals by Means of Linear Functionals
May 15, 2025
About this article
Published Online: May 15, 2025
Page range: 16 - 24
Received: Sep 25, 2024
Accepted: Dec 20, 2024
DOI: https://doi.org/10.2478/gm-2024-0009
Keywords
© 2024 Daniel Ianoşi., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In this paper we present necessary and sufficient conditions for Hermite-Hadamard type inequalities to hold for linear and positive functionals. In particular, the results from [M. Z. Sarikaya, E. Set, H. Yaldiz, N. Başak, Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities, Mathematical and Computer Modelling, 57 (9–10), 2013, 2403-2407] are obtained.