Article 2025 · 0 citations

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

Khan, Muhammad Adil, Saeed, Tareq, Ali, Sajjad, Yildiz, Cetin, Alaoui, Mohammed Kbiri

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.

Keywords

Quantum integral Green function H-H-inequality

WoS Categories

Mathematics

Citation

Journal: EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
Year: 2025
Volume: 18
Issue: 4
ISSN: 1307-5543
DOI: 10.29020/nybg.ejpam.v18i4.6927
WoS UID: WOS:001663195700029

Open via DOI