SOME NEW ESTIMATES USING GENERALIZED QUANTUM MONTGOMERY IDENTITY VIA STRONGLY PREINVEX FUNCTIONS OF HIGHER ORDER

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DOI:

https://doi.org/10.37560/matbil21452129k

Keywords:

Montgomery identity, \(q\)-differentiable, strongly preinvex functions, Hölder inequality, power mean inequality

Abstract

In this paper, we obtain a new generalized version of the quantum Montgomery identity. Using this identity, some new estimates, for the class of strongly preinvex functions of higher order, are established. Furthermore, novel inequalities are deduced from our main results as special cases and in addition, recapture some known results as well. We anticipate that results presented herein will trigger further interest in this direction.

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Published

2022-01-10

Issue

Vol. 45 No. 2 (2021): 45 (LXXI) 2 (2021)

Section

Articles

License

Copyright (c) 2021 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
A. Kashuri, E. R. Nwaeze, and R. Liko, “SOME NEW ESTIMATES USING GENERALIZED QUANTUM MONTGOMERY IDENTITY VIA STRONGLY PREINVEX FUNCTIONS OF HIGHER ORDER”, Mat. Bilt., vol. 45, no. 2, pp. 127–142, Jan. 2022, doi: 10.37560/matbil21452129k.