@Article{JNMA-7-1683, author = {Kara , HasanBudak , HüseyinHezenci , Fatih and Awan , Muhammad Uzair}, title = {Some Hermite-Hadamard Type Inequalities with the Aid of Newly Defined Double Post-Quantum Integrals}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {5}, pages = {1683--1703}, abstract = {

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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1683}, url = {http://global-sci.org/intro/article_detail/jnma/24384.html} }