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International Monthly Seminar on Time Scales Analysis #2

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Svetlin G. Georgiev (Main Organizer, Sorbonne University, Paris, France), Khaled Zennir (Co-Organizer:)
Description

The International Seminar on Time Scales Analysis is dedicated to the latest advancements in time scales analysis and its wide-ranging applications. Bringing together leading scientists, researchers, and practitioners from around the world, the seminar provides a platform to present cutting-edge research, exchange ideas, and foster interdisciplinary collaborations. Participants will also benefit from engaging talks and valuable networking opportunities, making it a key event for professionals in both pure and applied mathematics. The seminar is held monthly, and it will be online.

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Participants
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    • 2:00 PM → 2:30 PM
      Wirtinger-Type Dynamic Inequalities: Rectifying Reformation and Improvement 30m

      In this talk, we shall investigate the validity of the Wirtinger inequality within the framework of time scales, a unified approach to continuous and discrete analysis. By constructing explicit counterexamples, we demonstrate that the classical Wirtinger inequality does not hold universally across all time scales. Motivated by this finding, we propose a reformulation of the inequality by modifying its underlying conditions. Additionally, we establish several new improved Wirtinger-like inequalities, extending the theoretical foundation of the inequality on time scales.

      Speaker: Dr Sanket Tikare (Ramniranjan Jhunjhunwala College)
    • 2:30 PM → 2:40 PM
      Discussion 10m
    • 2:40 PM → 3:10 PM
      Product of Toeplitz Matrix And kth-order Slant Toeplitz Matrix. 30m
      1. INTRODUCTION
      2. PRELIMINARIES
        3.PRODUCT OF TOEPLITZ MATRIX AND kTH-ORDER SLANT TOEPLITZ MATRIX.
      Speaker: Dr SAID BENSLIMAN (Université Amar Telidji -Laghouat)
      aert.pdf
      aert.tex
    • 3:10 PM → 3:20 PM
      Discussion 10m
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