Development of Quantum Hermite-Hadamard Type Inequalities Using Green’s Function Techniques

Authors

  • Muhammad Adil Khan
  • Tareq Saeed Financial Mathematics and Actuarial Science (FMAS)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
  • Sajjad Ali Department of Mathematics, University of Peshawar
  • Cetin Yildiz Department of Mathematics, K.K. Education Faculty, Ataturk University, 25240 Campus, Erzurum, Turkey
  • Mohammed Kbiri Alaoui Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, 61413 Abha, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6927

Keywords:

Convex function , HH Inequality , Quantum integrals

Abstract

In this paper, we investigate the quantum Hermite-Hadamard inequality using the Green's function. This process leads to the derivation of novel quantum identities, which are then employed to establish novel inequalities. Utilizing these identities, we establish novel inequalities. The main results of the paper are derived using various techniques such as q-identities, convexity and Jensen inequality. Furthermore, the study provides numerical validation and graphical representations to support the main results.

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Mathematical Analysis

License

Copyright (c) 2025 Muhammad Adil Khan, Tareq Saeed, Sajjad Ali, Cetin Yildiz, Mohammed Kbiri Alaoui

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How to Cite

Development of Quantum Hermite-Hadamard Type Inequalities Using Green’s Function Techniques. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6927. https://doi.org/10.29020/nybg.ejpam.v18i4.6927