Hermite-Hadamard Type Inequalities for Fractional Integrals by Means of Linear Functionals
15 may 2025
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Publicado en línea: 15 may 2025
Páginas: 16 - 24
Recibido: 25 sept 2024
Aceptado: 20 dic 2024
DOI: https://doi.org/10.2478/gm-2024-0009
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© 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.