NEWTON'S TYPE QUANTUM FRACTIONAL INTEGRAL INEQUALITIES PERTAINING TO n-POLYNOMIAL CONVEX FUNCTIONS AND APPLICATION

Authors

DOI:

https://doi.org/10.37560/matbil22462121l​

Keywords:

Newton's type inequality, \(n\)-polynomial convex functions, Riemann--Liouville \(\hat{q}\)-fractional integrals, \(\hat{q}\)-H\"older's inequality, \(\hat{q}\)-power mean inequality, special mean

Abstract

In this paper, we consider a new Newton's type quantum fractional integral identity. Following that as an auxiliary result, we established in our main results some integral inequalities of Newton's type including \(n\)-polynomial convex functions. From our main results, we discuss in detail several special cases. Finally, an example and application of a special means of positive real numbers are presented to support our theoretical results.

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Published

2023-07-08

Issue

Vol. 46 No. 2 (2022): 46 (LXXII) 2 (2022)

Section

Articles

License

Copyright (c) 2022 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
R. Liko and A. Kashuri, “NEWTON’S TYPE QUANTUM FRACTIONAL INTEGRAL INEQUALITIES PERTAINING TO n-POLYNOMIAL CONVEX FUNCTIONS AND APPLICATION”, Mat. Bilt., vol. 46, no. 2, pp. 121–142, Jul. 2023, doi: 10.37560/matbil22462121l​.