On Novel Extension of n-Polynomial Pre-invex Functions and Related Post-Quantum Integral Inequalities with Application

In this paper, we introduce a new class of n-polynomial pre-invex functions to investigate the refined bounds of Hermite-Hadamard type inequalities involving postquantum integrals. We establish an ad-vanced and comprehensive multi-parameter identity and several post-quantum integrals to aid our main results. By applying this generic identity, we es-timate the unique and sharp bounds for the functions which are bounded and satisfy Lipschitz condition. In order to find the optimal bounds, we examine these results for the best choice of parameters involved and ex-press those graphically to validate our results. In the end, we calculate certain special means as the application of presented results.