Y. Gati

activity

20032026

most citedDescartes' rule of signs, Rolle's theorem and sequences of admissible pairs

5 citations · 7 across the 10 of their papers we have counts for

collaborators

Showing 2025Show all

2 papers · 1 filter

math.CA2025

Midpoints and critical points

Yousra Gati, Vladimir Petrov Kostov

For a degree $5$ real polynomial with roots $x_{1} \leq \dots \leq x_{5}$ and roots $ξ_{1} \leq \dots \leq ξ_{4}$ of its derivative, we set $z_{j} := (x_{j} + x_{j + 1}) /2$ , $1 \leq j \leq 4$ . We prov…

math.NA2025

Numerical approach for solving problems arising from polynomial analysis

Yousra Gati, Vladimir Petrov Kostov, Mohamed Chaouki Tarchi

This paper deals with the use of numerical methods based on random root sampling techniques to solve some theoretical problems arising in the analysis of polynomials. These methods…