On Some Weighted Inequalities on Time Scale with Nabla Calculus

Ayşe Sena Abalı; Lütfi Akın; Hilal Orhan

On Some Weighted Inequalities on Time Scale with Nabla Calculus

Abstract

The theory of time scales is one of the important cornerstones of functional analysis and operator theory. Recently, it has been the subject of many studies from different disciplines. For example, it has become the field of study of many researchers working in mathematics, economics, physics, optics, engineering, and other fields. In this study, firstly the basic features of the time scale and nabla calculus are mentioned. Then a new approach to the weighted Ostrowski-type inequality is presented using nabla calculus on time scales.

Keywords

References

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Details

Primary Language

English

Subjects

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

Journal Section

Research Article

Authors

Ayşe Sena Abalı ^* This is me
0009-0008-0219-1142
Türkiye

Lütfi Akın
0000-0002-5653-9393
Türkiye

Hilal Orhan This is me
Türkiye

Publication Date

December 31, 2024

Submission Date

September 12, 2024

Acceptance Date

December 31, 2024

Published in Issue

Year 2024 Volume: 1 Number: 1

IZ

https://izlik.org/JA76ZP36HD

Cite

RIS / Bibtex

APA

Abalı, A. S., Akın, L., & Orhan, H. (2024). On Some Weighted Inequalities on Time Scale with Nabla Calculus. Türkiye Mathematical Sciences, 1(1), 71-81. https://izlik.org/JA76ZP36HD

AMA

1.Abalı AS, Akın L, Orhan H. On Some Weighted Inequalities on Time Scale with Nabla Calculus. TMS. 2024;1(1):71-81. https://izlik.org/JA76ZP36HD

Chicago

Abalı, Ayşe Sena, Lütfi Akın, and Hilal Orhan. 2024. “On Some Weighted Inequalities on Time Scale With Nabla Calculus”. Türkiye Mathematical Sciences 1 (1): 71-81. https://izlik.org/JA76ZP36HD.

EndNote

Abalı AS, Akın L, Orhan H (December 1, 2024) On Some Weighted Inequalities on Time Scale with Nabla Calculus. Türkiye Mathematical Sciences 1 1 71–81.

IEEE

[1]A. S. Abalı, L. Akın, and H. Orhan, “On Some Weighted Inequalities on Time Scale with Nabla Calculus”, TMS, vol. 1, no. 1, pp. 71–81, Dec. 2024, [Online]. Available: https://izlik.org/JA76ZP36HD

ISNAD

Abalı, Ayşe Sena - Akın, Lütfi - Orhan, Hilal. “On Some Weighted Inequalities on Time Scale With Nabla Calculus”. Türkiye Mathematical Sciences 1/1 (December 1, 2024): 71-81. https://izlik.org/JA76ZP36HD.

JAMA

1.Abalı AS, Akın L, Orhan H. On Some Weighted Inequalities on Time Scale with Nabla Calculus. TMS. 2024;1:71–81.

MLA

Abalı, Ayşe Sena, et al. “On Some Weighted Inequalities on Time Scale With Nabla Calculus”. Türkiye Mathematical Sciences, vol. 1, no. 1, Dec. 2024, pp. 71-81, https://izlik.org/JA76ZP36HD.

Vancouver

1.Ayşe Sena Abalı, Lütfi Akın, Hilal Orhan. On Some Weighted Inequalities on Time Scale with Nabla Calculus. TMS [Internet]. 2024 Dec. 1;1(1):71-8. Available from: https://izlik.org/JA76ZP36HD