Some Hermite-Hadamard Type Inequalities with the Aid of Newly Defined Double Post-Quantum Integrals
Journal of Nonlinear Modeling and Analysis, vol.7, no.5, pp.1683-1703, 2025 (Scopus)
- Publication Type: Article / Article
- Volume: 7 Issue: 5
- Publication Date: 2025
- Doi Number: 10.12150/jnma.2025.1683
- Journal Name: Journal of Nonlinear Modeling and Analysis
- Journal Indexes: Scopus
- Page Numbers: pp.1683-1703
- Keywords: co-ordinated convexity, Hermite-Hadamard inequality, q-integral, quantum calculus, Tq-integral
- Kocaeli University Affiliated: Yes
Abstract
In the present paper, we first give four post-quantum integrals for functions of two variables, denoted by (Formula Presented). Afterwards, each of these newly defined integrals is illustrated. Moreover, some new Hermite-Hadamard inequalities are established based on these definitions. We also show the correctness of these inequalities with the aid of some numerical examples.