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Parameterized Quantum Fractional Integral Inequalities Defined by Using n-Polynomial Convex Functions

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Convexity performs the appropriate role in the theoretical study of inequalities according to the nature and behaviour. There is a strong relation between symmetry and convexity. In this article, we… Click to show full abstract

Convexity performs the appropriate role in the theoretical study of inequalities according to the nature and behaviour. There is a strong relation between symmetry and convexity. In this article, we consider a new parameterized quantum fractional integral identity. Following that, our main results are established, which consist of some integral inequalities of Ostrowski and midpoint type pertaining to n-polynomial convex functions. From our main results, we discuss in detail several special cases. Finally, an example and an application to special means of positive real numbers are presented to support our theoretical results.

Keywords: fractional integral; polynomial convex; parameterized quantum; integral inequalities; quantum fractional; convex functions

Journal Title: Axioms
Year Published: 2022

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