F. R. Rafaeli

activity

20172026

collaborators

3 papers

math.CA2026

Affine Scaling of Jacobi Zeros: Sharp Orderings Beyond Gautschi's Conjectures

K. Castillo, F. R. Rafaeli

We settle two conjectures of Gautschi on the degree dependence of the zeros of the Jacobi polynomials $P_{n}^{(α, β)}$ , $α, β > - 1$ , and obtain results substantially stronger than those…

math.CA2020

On variation of zeros of classical discrete orthogonal polynomials

K. Castillo, F. R. Rafaeli, A. Suzuki

The purpose of this note is to establish, from the hypergeometric-type difference equation introduced by Nikiforov and Uvarov, new tractable sufficient conditions for the monotonic…

math.CA2017

On zeros of polynomials in best $L^{p}$ -approximation and inserting mass points

K. Castillo, M. S. Costa, F. R. Rafaeli

The purpose of this note is to revive in $L^{p}$ spaces the original A. Markov ideas to study monotonicity of zeros of orthogonal polynomials. This allows us to prove and improve in…

Affine Scaling of Jacobi Zeros: Sharp Orderings Beyond Gautschi's Conjectures

On variation of zeros of classical discrete orthogonal polynomials

On zeros of polynomials in best Lp-approximation and inserting mass points

On zeros of polynomials in best $L^{p}$ -approximation and inserting mass points