Diamond-∝ Dynamic Type Inequalities

Zeynep Bilge Cennet; Lütfi Akın; Zeynep Alpsoy

Diamond-∝ Dynamic Type Inequalities

Abstract

In this work, we prove diamond inequalities of dynamic type by applying reversed Hölder’s inequality and the chain rule with diamond calculus on time scales. As particular cases of our results (when T = N and T = R), we get the reversed form of discrete and continuous inequalities.

Keywords

References

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Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems

Journal Section

Research Article

Authors

Zeynep Bilge Cennet ^* This is me
0009-0001-4660-2598
Türkiye

Lütfi Akın
0000-0002-5653-9393
Türkiye

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

Publication Date

June 30, 2026

Submission Date

March 25, 2026

Acceptance Date

April 22, 2026

Published in Issue

Year 2026 Volume: 3 Number: 3(1)

IZ

https://izlik.org/JA99JN54ZA

Cite

RIS / Bibtex

APA

Cennet, Z. B., Akın, L., & Alpsoy, Z. (2026). Diamond-∝ Dynamic Type Inequalities. Türkiye Mathematical Sciences, 3(3(1), 76-85. https://izlik.org/JA99JN54ZA

AMA

1.Cennet ZB, Akın L, Alpsoy Z. Diamond-∝ Dynamic Type Inequalities. TMS. 2026;3(3(1):76-85. https://izlik.org/JA99JN54ZA

Chicago

Cennet, Zeynep Bilge, Lütfi Akın, and Zeynep Alpsoy. 2026. “Diamond-∝ Dynamic Type Inequalities”. Türkiye Mathematical Sciences 3 (3(1): 76-85. https://izlik.org/JA99JN54ZA.

EndNote

Cennet ZB, Akın L, Alpsoy Z (June 1, 2026) Diamond-∝ Dynamic Type Inequalities. Türkiye Mathematical Sciences 3 3(1) 76–85.

IEEE

[1]Z. B. Cennet, L. Akın, and Z. Alpsoy, “Diamond-∝ Dynamic Type Inequalities”, TMS, vol. 3, no. 3(1), pp. 76–85, June 2026, [Online]. Available: https://izlik.org/JA99JN54ZA

ISNAD

Cennet, Zeynep Bilge - Akın, Lütfi - Alpsoy, Zeynep. “Diamond-∝ Dynamic Type Inequalities”. Türkiye Mathematical Sciences 3/3(1) (June 1, 2026): 76-85. https://izlik.org/JA99JN54ZA.

JAMA

1.Cennet ZB, Akın L, Alpsoy Z. Diamond-∝ Dynamic Type Inequalities. TMS. 2026;3:76–85.

MLA

Cennet, Zeynep Bilge, et al. “Diamond-∝ Dynamic Type Inequalities”. Türkiye Mathematical Sciences, vol. 3, no. 3(1), June 2026, pp. 76-85, https://izlik.org/JA99JN54ZA.

Vancouver

1.Zeynep Bilge Cennet, Lütfi Akın, Zeynep Alpsoy. Diamond-∝ Dynamic Type Inequalities. TMS [Internet]. 2026 Jun. 1;3(3(1):76-85. Available from: https://izlik.org/JA99JN54ZA