Speaker
Dr
Sanket Tikare
(Ramniranjan Jhunjhunwala College)
Description
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.
Authors
Dr
Sanket Tikare
(Ramniranjan Jhunjhunwala College)
Prof.
Svetlin Georgiev
(Sorbonne University)
Dr
jervin Zen Lobo
(St. Xavier's College, Mapusa, Goa)
Co-authors
Ms
Rachel Sarah D'Costa
(Goa University)
Mr
Suraj Krishna Parmekar
(Goa University)
