Rashid, SaimaIdrees, MuhammadChu, Yu -MingBaleanu, DumitruKalsoom, Humaira02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2021-02-082025-09-182021-02-082025-09-182020Kalsoom, 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. 1.2073-8994https://doi.org/10.3390/sym12010051https://hdl.handle.net/123456789/10513Kalsoom, Humaira/0000-0002-5835-3349In 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 FunctionsArticle10.3390/sym120100512-s2.0-85079595692