Research Article

A New Approach to Ostrowski Inequalities on Time Scale with Nabla Calculus

Volume: 1 Number: 1 December 31, 2024

A New Approach to Ostrowski Inequalities on Time Scale with Nabla Calculus

Abstract

The theory of time scales has recently become prominent in many disciplines of the scientific world. It has become the field of study of many researchers working in mathematics and economics, physics, optics, engineering, and other fields. Inequalities also have an important place in this theory. In this study, we bring a new approach to the generalized Ostrowski-type inequality using the nabla calculus on time scales.

Keywords

References

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  5. Bohner, M., Khan, A. R., Khan, M., Mehmood, F. and Shaikh, M. A. Generalized Perturbed Ostrowski-Type Inequalities, Annales Universitatis Mariae Curie-Sklodowska, Sectio A-Mathematica, 2021, vol. 75, no. 2, pp. 13–29. DOI: 10.17951/a.2021.75.2.13-29.
  6. Bohner, M. and Georgiev, S. G. Multivariable Dynamic Calculus on Time Scales, Springer International Publishing, 2016. DOI: 10.1007/978-3-319-47620-9
  7. Bohner, M. and Matthews, T. Ostrowski Inequalities on Time Scales, Journal of Inequalities in Pure and Applied Mathematics, 2008, vol.9, no.1, pp.1-8.
  8. Çelik, Ö.F. (2016). Zaman Skalasında Diamond-$\alpha$ Dinamik Denklemler [Yüksek Lisans Tezi], Yaşar Üniversitesi Fen Bilimleri Enstitüsü, İzmir.

Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems, Real and Complex Functions (Incl. Several Variables)

Journal Section

Research Article

Publication Date

December 31, 2024

Submission Date

June 26, 2024

Acceptance Date

December 30, 2024

Published in Issue

Year 2024 Volume: 1 Number: 1

APA
Akın, L., Çıtrık, Ö., & Abalı, A. S. (2024). A New Approach to Ostrowski Inequalities on Time Scale with Nabla Calculus. Türkiye Mathematical Sciences, 1(1), 18-27. https://izlik.org/JA49RN58AH
AMA
1.Akın L, Çıtrık Ö, Abalı AS. A New Approach to Ostrowski Inequalities on Time Scale with Nabla Calculus. TMS. 2024;1(1):18-27. https://izlik.org/JA49RN58AH
Chicago
Akın, Lütfi, Öznur Çıtrık, and Ayşe Sena Abalı. 2024. “A New Approach to Ostrowski Inequalities on Time Scale With Nabla Calculus”. Türkiye Mathematical Sciences 1 (1): 18-27. https://izlik.org/JA49RN58AH.
EndNote
Akın L, Çıtrık Ö, Abalı AS (December 1, 2024) A New Approach to Ostrowski Inequalities on Time Scale with Nabla Calculus. Türkiye Mathematical Sciences 1 1 18–27.
IEEE
[1]L. Akın, Ö. Çıtrık, and A. S. Abalı, “A New Approach to Ostrowski Inequalities on Time Scale with Nabla Calculus”, TMS, vol. 1, no. 1, pp. 18–27, Dec. 2024, [Online]. Available: https://izlik.org/JA49RN58AH
ISNAD
Akın, Lütfi - Çıtrık, Öznur - Abalı, Ayşe Sena. “A New Approach to Ostrowski Inequalities on Time Scale With Nabla Calculus”. Türkiye Mathematical Sciences 1/1 (December 1, 2024): 18-27. https://izlik.org/JA49RN58AH.
JAMA
1.Akın L, Çıtrık Ö, Abalı AS. A New Approach to Ostrowski Inequalities on Time Scale with Nabla Calculus. TMS. 2024;1:18–27.
MLA
Akın, Lütfi, et al. “A New Approach to Ostrowski Inequalities on Time Scale With Nabla Calculus”. Türkiye Mathematical Sciences, vol. 1, no. 1, Dec. 2024, pp. 18-27, https://izlik.org/JA49RN58AH.
Vancouver
1.Lütfi Akın, Öznur Çıtrık, Ayşe Sena Abalı. A New Approach to Ostrowski Inequalities on Time Scale with Nabla Calculus. TMS [Internet]. 2024 Dec. 1;1(1):18-27. Available from: https://izlik.org/JA49RN58AH