TY - JOUR
T1 - Some Hermite-Hadamard Type Inequalities with the Aid of Newly Defined Double Post-Quantum Integrals
AU - Kara , Hasan
AU - Budak , Hüseyin
AU - Hezenci , Fatih
AU - Awan , Muhammad Uzair
JO - Journal of Nonlinear Modeling and Analysis
VL - 5
SP - 1683
EP - 1703
PY - 2025
DA - 2025/09
SN - 7
DO - http://doi.org/10.12150/jnma.2025.1683
UR - https://global-sci.org/intro/article_detail/jnma/24384.html
KW - Hermite-Hadamard inequality, $q$-integral, $T_q$-integral, quantum
calculus, co-ordinated convexity.
AB - <p style="text-align: justify;">In the present paper, we first give four post-quantum integrals for
functions of two variables, denoted by $_{ac}T_{p,q},$ $^d_ aT_{p,q},$ $^b_cT_{p,q}$ and $^{bd}T_{p,q}.$ 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.</p>