Browsing by Author "Chu, Yu -Ming"

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    Two-Variable Quantum Integral Inequalities of Simpson-Type Based on Higher-Order Generalized Strongly Preinvex and Quasi-Preinvex Functions
    (Mdpi, 2020) Rashid, Saima; Idrees, Muhammad; Chu, Yu -Ming; Baleanu, Dumitru; Kalsoom, Humaira
    In 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.