Generalized Ostrowski-Gruss Like Inequality on Time Scales

Mehmood, Faraz; Khan, Asif Raza; Shaikh, Muhammad Awais

doi:10.22130/scma.2023.563178.1184

Document Type : Research Paper

Authors

¹ Dawood UniDepartment of Mathematics, Samarkand State University, University boulevard 15, Samarkand 140104, Uzbekistan and Department of Mathematics, Dawood University of Engineering.

² Technology, New M. A. Jinnah Road, Karachi-74800, Pakistan.versity of Engineering and Technology.

³ Department of Mathematics, University of Karachi, University Road, Karachi-75270 Pakistan.

⁴ Nabi Bagh Z. M. Govt. Science College, Saddar, Karachi-75270, Pakistan.

https://doi.org/10.22130/scma.2023.563178.1184

Abstract

In this paper, we present a generalization of the Montgomery Identity to various time scale versions, including the discrete case, continuous case, and the case of quantum calculus. By obtaining this generalization of Montgomery Identity we establish results about the generalization of Ostrowski-Gr\"{u}ss like inequality to the several time scales, namely discrete case, continuous case and the case of quantum calculus. Additionally, we recapture several published results from different authors in various papers, thus unifying the corresponding discrete and continuous versions. Furthermore, we demonstrate the applicability of our derived consequence to the case of quantum calculus.

Keywords

20.1001.1.23225807.2023.20.4.12.0

Main Subjects

Time Scales

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Sahand Communications in Mathematical Analysis

Generalized Ostrowski-Gruss Like Inequality on Time Scales

References

References

Volume 20, Issue 4
September 2023
Pages 191-203

Generalized Ostrowski-Gruss Like Inequality on Time Scales

References

References

Volume 20, Issue 4September 2023Pages 191-203

Volume 20, Issue 4
September 2023
Pages 191-203