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

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.

Fractional Simpson-like Inequalities with Parameter for Differential s-tgs-Convex Functions

“…Convexity has a close relation in the development of the theory of inequalities, of which it plays an important role in the study of qualitative properties of solutions of ordinary, partial, and integral differential equations as well as in numerical analysis, which is used for establishing the estimates of the errors for quadrature rules; see [7][8][9][10][11][12][13][14][15][16][17][18].…”