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Research Article | Open Access

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

Miguel Vivas-Cortez1, Muhammad Aamir Ali2( ), Hüseyin Budak3, Ifra Bashir Sial4
Pontificia Universidad Católica del Ecuador, Facultad de Ciencias Naturales y Exactas, Escuela de Ciencias Físicas y Matemáticas, Sede Quito, Ecuador
Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China
Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce-Turkey
School of Sciences, Jiangsu University, Zhenjiang 212013, China
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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.

Keywords

Ostrowski inequality(p, q)-integralspost-quantum calculusco-ordinated convex function
CLC number: 26D07, 26D10, 26D15

References

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 8035-8063
DOI: 10.3934/math.2022448

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Cite this article:
Vivas-Cortez M, Ali MA, Budak H, et al. Post-quantum Ostrowski type integral inequalities for functions of two variables. AIMS Mathematics, 2022, 7(5): 8035-8063. https://doi.org/10.3934/math.2022448

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Received: 07 August 2021
Revised: 03 January 2022
Accepted: 10 January 2022
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)