ON DYNAMIC INEQUALITIES OF HILBERT-TYPE

Zeynep Alpsoy; Lütfi Akın; Beyza Karagöz

ON DYNAMIC INEQUALITIES OF HILBERT-TYPE

Abstract

In this paper, we present new weighted diamond alpha dynamic inequalities of Hilbert type on time scales. Our approach is based on the application of the reversed Hölder’s inequality, the chain rule, and the mean inequality within the framework of diamond alpha calculus. Furthermore, we demonstrate that, as particular cases of our general results (for T=N and T=R ), one can obtain the reversed discrete and continuous forms of Hilbert-type inequalities.

Keywords

References

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Akın, L., Alpsoy, Z., & Karagöz, B. (2025). On diamond alpha weighted dynamic inequalities of Hilbert-type. Presented at the 8th International Hybrid Conference on Mathematical Advances and Applications, May 7–9, 2025, İstanbul, Türkiye.

Details

Primary Language

English

Subjects

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

Journal Section

Research Article

Authors

Zeynep Alpsoy ^* This is me
0009-0005-9254-026X
Türkiye

Lütfi Akın
0000-0002-5653-9393
Türkiye

Beyza Karagöz This is me
0009-0003-5062-9077
Türkiye

Publication Date

December 31, 2025

Submission Date

October 20, 2025

Acceptance Date

December 31, 2025

Published in Issue

Year 2025 Volume: 2 Number: 2

IZ

https://izlik.org/JA39XC63UF

Cite

RIS / Bibtex

APA

Alpsoy, Z., Akın, L., & Karagöz, B. (2025). ON DYNAMIC INEQUALITIES OF HILBERT-TYPE. Türkiye Mathematical Sciences, 2(2), 44-53. https://izlik.org/JA39XC63UF

AMA

1.Alpsoy Z, Akın L, Karagöz B. ON DYNAMIC INEQUALITIES OF HILBERT-TYPE. TMS. 2025;2(2):44-53. https://izlik.org/JA39XC63UF

Chicago

Alpsoy, Zeynep, Lütfi Akın, and Beyza Karagöz. 2025. “ON DYNAMIC INEQUALITIES OF HILBERT-TYPE”. Türkiye Mathematical Sciences 2 (2): 44-53. https://izlik.org/JA39XC63UF.

EndNote

Alpsoy Z, Akın L, Karagöz B (December 1, 2025) ON DYNAMIC INEQUALITIES OF HILBERT-TYPE. Türkiye Mathematical Sciences 2 2 44–53.

IEEE

[1]Z. Alpsoy, L. Akın, and B. Karagöz, “ON DYNAMIC INEQUALITIES OF HILBERT-TYPE”, TMS, vol. 2, no. 2, pp. 44–53, Dec. 2025, [Online]. Available: https://izlik.org/JA39XC63UF

ISNAD

Alpsoy, Zeynep - Akın, Lütfi - Karagöz, Beyza. “ON DYNAMIC INEQUALITIES OF HILBERT-TYPE”. Türkiye Mathematical Sciences 2/2 (December 1, 2025): 44-53. https://izlik.org/JA39XC63UF.

JAMA

1.Alpsoy Z, Akın L, Karagöz B. ON DYNAMIC INEQUALITIES OF HILBERT-TYPE. TMS. 2025;2:44–53.

MLA

Alpsoy, Zeynep, et al. “ON DYNAMIC INEQUALITIES OF HILBERT-TYPE”. Türkiye Mathematical Sciences, vol. 2, no. 2, Dec. 2025, pp. 44-53, https://izlik.org/JA39XC63UF.

Vancouver

1.Zeynep Alpsoy, Lütfi Akın, Beyza Karagöz. ON DYNAMIC INEQUALITIES OF HILBERT-TYPE. TMS [Internet]. 2025 Dec. 1;2(2):44-53. Available from: https://izlik.org/JA39XC63UF