Hermite-Hadamard Type Inequalities for Fractional Integrals by Means of Linear Functionals
15. Mai 2025
Über diesen Artikel
Online veröffentlicht: 15. Mai 2025
Seitenbereich: 16 - 24
Eingereicht: 25. Sept. 2024
Akzeptiert: 20. Dez. 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.