Polynomial approximation and interpolation on the real line with respect to general classes of weights

A Horváth, J Szabados - Results in Mathematics, 1998 - Springer
Results on weighted polynomial approximation and interpolation with respect to Freud
weights are extended to a more general class of weights. Among others, weights having …

Mean convergence of Hermite-Fejér and Hermite interpolation for Freud weights

HS Jung, KH Kwon - Journal of computational and applied mathematics, 1998 - Elsevier
Mean convergence of Hermite-Fejfr and Hermite interpolation for Freud weights Page 1
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS ELSEVIER Journal of …

[PDF][PDF] An Erdos-type convergence process in weighted interpolation. I. Freud-type weights.(English summary)

P Vértesi - Acta Math. Hungar, 2001 - Citeseer
In this interesting paper, the author places an idea of Erdos within the framework of Freud
weights. It is a classical result of Faber that given any array of interpolation points in [− 1, 1] …

Pointwise convergence of Hermite-Fejér interpolation of higher order for Freud weights

Y Kanjin, R Sakai - Tohoku Mathematical Journal, Second Series, 1994 - jstage.jst.go.jp
POINTWISE CONVERGENCE OF HERMITE-FEJER INTERPOLATION OF HIGHER ORDER
FOR FREUD WEIGHTS 1. Introduction. The purpose of this pape Page 1 Tohoku Math. J. 46(1994) …

Uniform or mean convergence of Hermite–Fejér interpolation of higher order for Freud weights

T Kasuga, R Sakai - Journal of Approximation Theory, 1999 - Elsevier
Uniform or Mean Convergence of Hermite–Fejčr Interpolation of Higher Order for Freud Weights
Page 1 Journal of Approximation Theory 101, 330 358 (1999) Uniform or Mean Convergence …

On the Lebesgue function of weighted Lagrange interpolation. I.(Freud-type weights)

P Vértesi - Constructive approximation, 1999 - Springer
For a wide class of Freud-type weights of form w= exp (-Q) we investigate the behavior of the
corresponding weighted Lebesgue function λ n (w, X, x), where X= x kn ⊂ (-∞,∞) is an …

Convergence of Lagrange Interpolation for Freud Weights in Weighted Lp(ℝ), 0 <P ≤ 1

DM Matjila - … Numerical Methods and Rational Approximation II, 1994 - Springer
We determine the necessary and sufficient conditions for convergence in weighted L p (ℝ),
0< p≤ 1 of Lagrange Interpolation to a certain class of continuous functions taken at the …

Convergence of Hermite and Hermite–Fejer interpolation of higher order for Freud weights

SB Damelin, HS Jung, KH Kwon - Journal of Approximation Theory, 2001 - Elsevier
We investigate weighted Lp (0< p<∞) convergence of Hermite and Hermite–Fejér
interpolation polynomials of higher order at the zeros of Freud orthogonal polynomials on …

Mean convergence of extended Lagrange interpolation with Freud weights

DS Lubinsky, G Mastroianni - Acta Mathematica Hungarica, 1999 - Springer
Abstract Let W:= exp (-Q), where Q is of smooth polynomial growth at∞, for example Q (x)=|
x| β, β> 1. We call W 2 a Freud weight. The mean convergence of Lagrange interpolation at …

Orthonormal polynomials for generalized Freud-type weights and higher-order Hermite–Fejér interpolation polynomials

T Kasuga, R Sakai - Journal of Approximation Theory, 2004 - Elsevier
Let Q: R→ R be even, nonnegative and continuous, Q′ be continuous, Q′> 0 in (0,∞), and
let Q ″be continuous in (0,∞). Furthermore, Q satisfies further conditions. We consider a …