Kalsoom, HumairaRashid, SaimaIdrees, MuhammadChu, Yu -MingBaleanu, Dumitru2021-02-082021-02-082020Kalsoom, Humaira...et al. (2020). "Two-Variable Quantum Integral Inequalities of Simpson-Type Based on Higher-Order Generalized Strongly Preinvex and Quasi-Preinvex Functions", Symmetry-Basel, Vol. 12, No. 1.2073-8994http://hdl.handle.net/20.500.12416/4570In this paper, we present a new definition of higher-order generalized strongly preinvex functions. Moreover, it is observed that the new class of higher-order generalized strongly preinvex functions characterize various new classes as special cases. We acquire a new q1q2-integral identity, then employing this identity, we establish several two-variable q1q2-integral inequalities of Simpson-type within a class of higher-order generalized strongly preinvex and quasi-preinvex functions. Finally, the utilities of our numerical approximations have concrete applications.eninfo:eu-repo/semantics/openAccessQuantum CalculusSimpson-Type InequalitiesStrongly Preinvex FunctionsCo-Ordinated Higher-Order Generalized Strongly Preinvex FunctionsCo-Ordinated Higher-Order Generalized Strongly Quasi-Preinvex FunctionsArticle12110.3390/sym12010051