Q1Q2-OSTROWSKI-TYPE INTEGRAL INEQUALITIES INVOLVING PROPERTY OF GENERALIZED HIGHER-ORDER STRONGLY N-POLYNOMIAL PREINVEXITY

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Resumen

Quantum calculus has numerous applications in mathematics. This novel class of functions may be used to produce a variety of conclusions in convex analysis, special functions, quantum mechanics, related optimization theory, and mathematical inequalities. It can drive additional research in a variety of pure and applied fields. This article’s main objective is to introduce and study a new class of preinvex functions, which is called higher-order generalized strongly n-polynomial preinvex function. We derive a new q1q2-integral identity for mixed partial q1q2-differentiable functions. Because of the nature of generalized convexity theory, there is a strong link between preinvexity and symmetry. Utilizing this as an auxiliary result, we derive some estimates of upper bound for functions whose mixed partial q1q2-differentiable functions are higher-order generalized strongly n-polynomial preinvex functions on co-ordinates. Our results are the generalizations of the results in earlier papers. Quantum inequalities of this type and the techniques used to solve them have applications in a wide range of fields where symmetry is important.
Idioma originalEspañol (Ecuador)
PublicaciónSymmetry
EstadoPublicada - 1 abr. 2022
Publicado de forma externa

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