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Hermite-Hadamard Type Inequalities for Fractional Integrals by Means of Linear Functionals Cover

Hermite-Hadamard Type Inequalities for Fractional Integrals by Means of Linear Functionals

By: Daniel Ianoşi  
Open Access
|May 2025

References

  1. M. R. Delavar, Hermite-Hadamard’s Mid-Point Type Inequalities for Generalized Fractional Integrals, 2019. https://doi.org/10.48550/arXiv.1902.07299
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  3. S. S. Dragomir, C. E. M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and applications, Science direct working paper S1574-0358, 2003:04 (RGMIA Monographs), Victoria University, 2000. http://rgmia.vu.edu.au/monographs/hermitehadamard.html
  4. R. Gorenflo, F. Mainardi, Fractional Calculus: Integral and Differential Equations of Fractional Order, Fractals and Fractional Calculus in Continuum Mechanics, 2008, 378. https://doi.org/10.48550/arXiv.0805.3823
  5. Z. Hao, L. Li, Hermite-Hadamard Type Inequalities for Operator (p,h)–Convex Functions, Journal Mathematical Inequalities, vol. 14, no. 4, 2020, 1269-1284. http://dx.doi.org/10.7153/jmi-2020-14-82
  6. U. S. Kirmaci, Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, Applied Mathematics and Computation, vol. 147, no. 1, 2004, 137-146, ISSN 0096-3003. https://doi.org/10.1016/S0096-3003(02)00657-4
  7. M. Z. Sarikaya, E. Set, H. Yaldiz, N. Başak, Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities, Mathematical and Computer Modelling, vol. 57, no. 9-10, 2013, 2403-2407, ISSN 0895-7177. https://doi.org/10.1016/j.mcm.2011.12.048
DOI: https://doi.org/10.2478/gm-2024-0009 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023
Language: English
Page range: 16 - 24
Submitted on: Sep 25, 2024
Accepted on: Dec 20, 2024
Published on: May 15, 2025
Published by: Lucian Blaga University of Sibiu
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2025 Daniel Ianoşi, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.