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Two-Variable Quantum Integral Inequalities of Simpson-Type Based on Higher-Order Generalized Strongly Preinvex and Quasi-Preinvex Functions

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2020

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Abstract

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.

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Quantum Calculus, Simpson-Type Inequalities, Strongly Preinvex Functions, Co-Ordinated Higher-Order Generalized Strongly Preinvex Functions, Co-Ordinated Higher-Order Generalized Strongly Quasi-Preinvex Functions

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Kalsoom, 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.

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Symmetry-Basel

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12

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1

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