R. Orive

activity

20182026

collaborators

5 papers

math.CA2026

On Constrained Riesz Minimum Energy Problems

Dan Coroian, Peter Dragnev, Alan Legg +1

The constrained equilibrium problem for the logarithmic potential was introduced by Rakhmanov (1996) as he realized that the asymptotic distribution of the zeros of discrete orthog…

math.CA2026

Coulomb equilibrium in the external field of an attractive-repellent pair of charges

R. Orive, F. Wielonsky

The aim of this paper is to provide a complete analysis of the Coulomb equilibrium problem in the euclidean space $R^{d}$ , $d \geq 2$ , associated to the kernel $1/∣ x ∣^{d - 2}$ ,…

math.CA2025

Riesz equilibrium on a ball in the external field of a point charge

Peter D. Dragnev, Ramon Orive, Eduard B. Saff +1

We investigate the Riesz energy minimization problem on a $d$ -dimensional ball in the presence of an external field created by a point charge above the ball in $R^{d + 1}$ , $d \geq 1$ …

math.CA2021

On the Best Uniform Polynomial Approximation to the Checkmark Function

Peter D. Dragnev, Alan R. Legg, Ramon Orive

The best uniform polynomial approximation of the checkmark function $f (x) = ∣ x - α ∣$ is considered, as $α$ varies in $(- 1, 1)$ . For each fixed degree $n$ , the minimax error $E_{n} (α)$ is…

math.CV2018

Equilibrium problems in weakly admissible external fields created by pointwise charges

Ramón Orive, Joaquín F. Sánchez Lara, Franck Wielonsky

The main subject of this paper is equilibrium problems on an unbounded conductor $Σ$ of the complex plane in the presence of a weakly admissible external field. An admissible exter…