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

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

doi:10.3934/math.2022448

AIMS Mathematics

2022, Volume 7, Issue 5: 8035-8063. doi: 10.3934/math.2022448

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Research article

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

1.
Pontificia Universidad Católica del Ecuador, Facultad de Ciencias Naturales y Exactas, Escuela de Ciencias Físicas y Matemáticas, Sede Quito, Ecuador
2.
Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China
3.
Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce-Turkey
4.
School of Sciences, Jiangsu University, Zhenjiang 212013, China

Received: 07 August 2021 Revised: 03 January 2022 Accepted: 10 January 2022 Published: 23 February 2022
MSC : 26D07, 26D10, 26D15

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.
- Ostrowski inequality,
- $ \left(p, q\right) $-integrals,
- post-quantum calculus,
- co-ordinated convex function
Citation: Miguel Vivas-Cortez, Muhammad Aamir Ali, Hüseyin Budak, Ifra Bashir Sial. Post-quantum Ostrowski type integral inequalities for functions of two variables[J]. AIMS Mathematics, 2022, 7(5): 8035-8063. doi: 10.3934/math.2022448

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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.

References

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