Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scales

Atiqe Ur Rahman; Khuram Ali Khan; Ammara Nosheen; Muhammad Saeed; Thongchai Botmart; Nehad Ali Shah; Atiqe Ur Rahman; Khuram Ali Khan; Ammara Nosheen; Muhammad Saeed; Thongchai Botmart; Nehad Ali Shah

doi:10.3934/math.2022913

AIMS Mathematics

2022, Volume 7, Issue 9: 16657-16672. doi: 10.3934/math.2022913

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Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scales

1.
Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan
2.
Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
3.
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
4.
Department of Mechanical Engineering, Sejong University, Seoul 05006, South Korea
^† These authors contributed equally to this work and are co-first authors

Received: 17 March 2022 Revised: 28 June 2022 Accepted: 29 June 2022 Published: 12 July 2022
MSC : 26D07, 26D15, 26E70

In this paper, the Montgomery identity is generalized for double integrals on time scales by employing a novel analytical approach to develop the generalized Ostrowski type integral inequalities involving double integrals. Some inimitable cases are discussed for different parameters and parametric functions. Moreover, applications to some particular time scales are also presented.
- Ostrowski inequalities,
- Montgomery identity,
- time scales,
- polynomials
Citation: Atiqe Ur Rahman, Khuram Ali Khan, Ammara Nosheen, Muhammad Saeed, Thongchai Botmart, Nehad Ali Shah. Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scales[J]. AIMS Mathematics, 2022, 7(9): 16657-16672. doi: 10.3934/math.2022913

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Abstract

In this paper, the Montgomery identity is generalized for double integrals on time scales by employing a novel analytical approach to develop the generalized Ostrowski type integral inequalities involving double integrals. Some inimitable cases are discussed for different parameters and parametric functions. Moreover, applications to some particular time scales are also presented.

References

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