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

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.

Dergi

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS

Yıl

2025

Cilt

18

Sayı

4

ISSN

1307-5543

DOI

10.29020/nybg.ejpam.v18i4.6927

WoS UID

WOS:001663195700029

Yayını aç (DOI)