Post-quantum Ostrowski type integral inequalities for functions of two variables

Miguel Vivas-Cortez; Muhammad Aamir Ali; Hüseyin Budak; Ifra Bashir Sial

doi:10.3934/math.2022448

Post-quantum Ostrowski type integral inequalities for functions of two variables

Miguel Vivas-Cortez, Muhammad Aamir Ali^*, Hüseyin Budak, Ifra Bashir Sial

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this study, we give the notions about some new post-quantum partial derivatives and then use these derivatives to prove an integral equality via post-quantum double integrals. We establish some new post-quantum Ostrowski type inequalities for differentiable coordinated functions using the newly established equality. We also show that the results presented in this paper are the extensions of some existing results.

Original language	English
Pages (from-to)	8035-8063
Number of pages	29
Journal	AIMS Mathematics
Volume	7
Issue number	5
DOIs	https://doi.org/10.3934/math.2022448
State	Published - 23 Feb 2022

Bibliographical note

Publisher Copyright:
© 2022 the Author(s), licensee AIMS Press.

Funding

We want to give thanks to the Dirección de investigación from Pontificia Universidad Católica del Ecuador for technical support to our research project entitled: “Algunas desigualdades integrales para funciones convexas generalizadas y aplicaciones”.

Keywords

(p, q)-integrals
Co-ordinated convex function
Ostrowski inequality
Post-quantum calculus

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10.3934/math.2022448

Cite this

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AU - Budak, Hüseyin

AU - Sial, Ifra Bashir

PY - 2022/2/23

Y1 - 2022/2/23

N2 - In this study, we give the notions about some new post-quantum partial derivatives and then use these derivatives to prove an integral equality via post-quantum double integrals. We establish some new post-quantum Ostrowski type inequalities for differentiable coordinated functions using the newly established equality. We also show that the results presented in this paper are the extensions of some existing results.

AB - In this study, we give the notions about some new post-quantum partial derivatives and then use these derivatives to prove an integral equality via post-quantum double integrals. We establish some new post-quantum Ostrowski type inequalities for differentiable coordinated functions using the newly established equality. We also show that the results presented in this paper are the extensions of some existing results.

KW - (p, q)-integrals

KW - Co-ordinated convex function

KW - Ostrowski inequality

KW - Post-quantum calculus

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Post-quantum Ostrowski type integral inequalities for functions of two variables

Abstract

Bibliographical note

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Keywords

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