Wirtinger-Type Dynamic Inequalities: Rectifying Reformation and Improvement

• Sanket Tikare (Ramniranjan Jhunjhunwala College)

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.

Product of Toeplitz Matrix And kth-order Slant Toeplitz Matrix.

• SAID BENSLIMAN (Université Amar Telidji -Laghouat)

1. INTRODUCTION 2. PRELIMINARIES 3.PRODUCT OF TOEPLITZ MATRIX AND kTH-ORDER SLANT TOEPLITZ MATRIX.