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

Date

2022

Authors

Liko, Rozana
Srivastava, Hari M.
Mohammed, Pshtiwan O.
Kashuri, Artion
Al-Sarairah, Eman
Sahoo, Soubhagya K.
Soliman, Mohamed S.

Journal Title

Journal ISSN

Volume Title

Publisher

Axioms

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.

Description

Keywords

Ostrowski inequality, Riemann–Liouville q-fractional integrals, q-Hölder’s inequality, q-power mean inequality, n-polynomial convex functions, special means

Citation

Liko, R., Srivastava, H. M., Mohammed, P. O., Kashuri, A., Al-Sarairah, E., Sahoo, S. K., & Soliman, M. S. (2022). Parameterized Quantum Fractional Integral Inequalities Defined by Using n-Polynomial Convex Functions. Axioms, 11(12), 727. https://doi.org/10.3390/axioms11120727