Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities

Mehmet Kunt; Artion Kashuri; Tingsong Du; Abdul Wakil Baidar; Mehmet Kunt; Artion Kashuri; Tingsong Du; Abdul Wakil Baidar

doi:10.3934/math.2020349

AIMS Mathematics

2020, Volume 5, Issue 6: 5439-5457. doi: 10.3934/math.2020349

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Research article

Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities

1.
Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey
2.
Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, Albania
3.
Department of Mathematics, College of Science, China Three Gorges University, 443002, Yichang, P. R. China
4.
Kabul University, Department of Mathematics, Kabul, Afghanistan

Received: 17 December 2019 Accepted: 22 June 2020 Published: 24 June 2020
MSC : 26D15, 26A51, 05A30

In this paper, the new version of the celebrated Montgomery identity is determined via quantum integral operators. By using it, certain quantum integral inequalities of Ostrowski type are established. Moreover, the relevant connection of the obtained results of this work with the derived results in previously published works is discussed.
- convex functions,
- quantum differentiable,
- quantum integrable,
- Ostrowski type inequality
Citation: Mehmet Kunt, Artion Kashuri, Tingsong Du, Abdul Wakil Baidar. Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities[J]. AIMS Mathematics, 2020, 5(6): 5439-5457. doi: 10.3934/math.2020349

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Abstract

In this paper, the new version of the celebrated Montgomery identity is determined via quantum integral operators. By using it, certain quantum integral inequalities of Ostrowski type are established. Moreover, the relevant connection of the obtained results of this work with the derived results in previously published works is discussed.

References

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