3 papers
math.CA2025
Optimal polynomial approximants and orthogonal polynomials on the unit circle. An electrostatic approach
Ramón Orive, Joaquín Sánchez-Lara, Daniel Seco
We explore the connection between two seemingly distant fields: the set of cyclic functions in a Hilbert space of analytic functions over the unit disc $\D$, on the one hand, a…
math.NA2018
The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type
Ramon Orive, Aleksandar V. Pejcev, Miodrag M. Spalevic
In this paper, we consider the Gauss quadrature formulae corresponding to some modifications of anyone of the four Chebyshev weights, considered by Gautschi and Li in \cite{gauli}.…
math.CA2004
Riemann-Hilbert analysis for Jacobi polynomials orthogonal on a single contour
A. Martinez-Finkelshtein, R. Orive
Classical Jacobi polynomials , with , have a number of well-known properties, in particular the location of their zeros in the open interval . This…