Computational and Graphical Validation of New Fractional Hermite–Hadamard Inequalities via a Weighted ψ-Weyl Fractional Operators

Authors

  • Waqar Afzal Center for Theoretical Physics, Khazar University, 41 Mehseti Str., Baku, AZ1096, Azerbaijan
  • Muhammad Tariq Mathematics Research Center, Near East University, Near East Boulevard, Nicosia, Mersin 99138, Turkey.
  • Hijaz Ahmad Department of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, South Korea.

DOI:

https://doi.org/10.65463/jprm.2026530.

Keywords:

Hermite--Hadamard inequality; fractional calculus; $\uppsi$-Weyl fractional operator; weighted fractional operators; harmonic convexity; trapezoidal rule; numerical integration; error estimates

Abstract

In this work, we utilize a weighted ψ-Weyl fractional operator to establish several new refinements of the well known classical Hermite–Hadamard integral inequalities, formulated for a generalized class of harmonically convex Godunova–Levin functions. To demonstrate the correctness and applicability of these new results, we support them with nontrivial numerical examples along with visual graphical illustrations.

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References

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Published

2026-10-22

Data Availability Statement

Data available on request from the authors

Issue

Vol. 22 No. 2 (2026): Journal of Prime Research in Mathematics

Section

Regular

License

Copyright (c) 2026 Waqar Afzal, Muhammad Tariq, Hijaz Ahmad

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Computational and Graphical Validation of New Fractional Hermite–Hadamard Inequalities via a Weighted ψ-Weyl Fractional Operators. (2026). Journal of Prime Research in Mathematics, 22(2), 162-195. https://doi.org/10.65463/jprm.2026530.