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September 20, 2025 to May 23, 2026
UTC timezone
We are pleased to announce the International Seminar on Time Scales Analysis.

Inverse Forms of Pachpatte-Type Dynamic Inequalities within Delta and Nabla Calculi

Not scheduled
20m

Speaker

Prof. Zeynep Kayar (Van Yuzuncu Yil University)

Description

Through the framework of concavity, we derive novel reversed nabla Pachpatte-type dynamic inequalities. These formulations not only encompass their corresponding delta analogues but also subsume both discrete and continuous versions as particular instances. Moreover, in the absence of concavity, they naturally lead to generalized forms of delta and nabla Bennett–Leindler-type dynamic inequalities [1].

[1] Kayar Z., Kaymak\c{c}alan B. and Pelen N.N., (2021), Bennett-Leindler type inequalities for time scale nabla calculus, Mediterr. J. Math., vol. 18, pp. 1-18

Author

Prof. Zeynep Kayar (Van Yuzuncu Yil University)

Co-author

Prof. Billur Kaymakçalan (University of Turkish Aeronautical Association)

Presentation materials