Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Orive, Ramón"'
For a given polynomial $P$ with simple zeros, and a given semiclassical weight $w$, we present a construction that yields a linear second-order differential equation (ODE), and in consequence, an electrostatic model for zeros of $P$. The coefficients
Externí odkaz:
http://arxiv.org/abs/2203.01419
In this paper, we investigate Riesz energy problems on unbounded conductors in $\R^d$ in the presence of general external fields $Q$, not necessarily satisfying the growth condition $Q(x)\to\infty$ as $x\to\infty$ assumed in several previous studies.
Externí odkaz:
http://arxiv.org/abs/2104.03733
The best uniform polynomial approximation of the checkmark function $f(x)=|x-\alpha |$ is considered, as $\alpha$ varies in $(-1,1)$. For each fixed degree $n$, the minimax error $E_n (\alpha)$ is shown to be piecewise analytic in $\alpha$. In additi
Externí odkaz:
http://arxiv.org/abs/2102.09502
The purpose of this work is twofold. First, we aim to extend for $0
Externí odkaz:
http://arxiv.org/abs/1905.03618
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}. As it is well known, in the case of analytic integrands, the error of
Externí odkaz:
http://arxiv.org/abs/1809.10130
The main subject of this paper is equilibrium problems on an unbounded conductor $\Sigma$ of the complex plane in the presence of a weakly admissible external field. An admissible external field $Q$ on $\Sigma$ satisfies, along with other mild condit
Externí odkaz:
http://arxiv.org/abs/1805.01679
Autor:
Martínez-Finkelshtein, Andrei1,2 (AUTHOR), Orive, Ramón3 (AUTHOR), Sánchez-Lara, Joaquín4 (AUTHOR) jslara@ugr.es
Publikováno v:
Constructive Approximation. Oct2023, Vol. 58 Issue 2, p271-342. 72p.
Autor:
Orive, Ramon, Lara, Joaquin F. Sanchez
In this paper equilibrium measures in the presence of external fields created by fixed charges are analyzed. These external fields are a particular case of the so-called rational external fields (in the sense that their derivatives are rational funct
Externí odkaz:
http://arxiv.org/abs/1605.01909
Publikováno v:
In Applied Mathematics and Computation 15 March 2020 369
Autor:
Orive, Ramón, Lara, Joaquín Sánchez
Equilibrium measures in the real axis in the presence of rational external fields are considered. These external fields are called rational since their derivatives are rational functions. We analyze the evolution of the equilibrium measure, and its s
Externí odkaz:
http://arxiv.org/abs/1406.0329