On the Lagrange interpolation polynomials of entire functions

R Al-Jarrah - Journal of approximation theory, 1984 - Elsevier
On the Lagrange Interpolation Polynomials of Entire Functions Page 1 JOURNAL OF
APPROXIMATION THEORY 41, 170-l 78 (1984) On the Lagrange Interpolation Polynomials of …

[PDF][PDF] Convergence of the derivatives of Lagrange interpolating polynomials based on the roots of Hermite polynomials

K Balázs - J. Approx. Theory, 1988 - core.ac.uk
In this paper we consider Lagrange interpolation on the real axis. We use the zeros of the
classical Hermite polynomials as nodes of interpolation. Freud [4] and Nevai [7, S] have …

On Lagrange polynomial quasi-interpolation

CK Chui, XC Shen, L Zhong - Topics In Polynomials Of One And …, 1993 - World Scientific
For H∞ functions whose radial limits are almost everywhere continuous on the unit circle in
the complex plane, we give an estimate, in terms of the average modulus of continuity, for …

[PDF][PDF] On the approximation of multivariate entire functions by Lagrange interpolation polynomials

JP Calvi - Dolomites Research Notes on …, 2015 - drna.padovauniversitypress.it
On the approximation of multivariate entire functions by Lagrange interpolation polynomials
Page 1 Special Issue for the “10 years of the Padua points”, Volume 8 · 2015 · Pages 11–16 …

Local polynomial interpolation in a rectangle

J Hugger - Calcolo, 1994 - Springer
The asymptotical error committed by approximating a smooth function by a polynomial is
studied. The domain of interpolation is a rectangle in two dimensional space, and the …

A Hilbert transform representation of the error in Lagrange interpolation

DG Kubayi, DS Lubinsky - Journal of Approximation Theory, 2004 - Elsevier
Let Ln [f] denote the Lagrange interpolation polynomial to a function f at the zeros of a
polynomial Pn with distinct real zeros. We show that [Formula: see text] where H denotes the …

Mean convergence of Lagrange interpolation, II

PG Nevai - Journal of Approximation Theory, 1980 - Elsevier
The purpose of the paper is to investigate weighted L p convergence of Lagrange
interpolation taken at the zeros of Hermite polynomials. It is shown that if a continuous …

[HTML][HTML] On the asymptotics of polynomial interpolation to| x| α at the Chebyshev nodes

M Revers - Journal of Approximation Theory, 2013 - Elsevier
On the asymptotics of polynomial interpolation to |x|α at the Chebyshev nodes -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

On Lagrange interpolation for |X| α (0 < α < 1)

L Zhu, Z Huang - Analysis in Theory and Applications, 2009 - Springer
∑ ∏ Page 1 Anal. Theory Appl. Vol. 25, No. 1 (2009), 16–24 DOI10.1007/s10496-009-0016-0
ON LAGRANGE INTERPOLATION FOR |X|α (0 < α < 1) Laiyi Zhu and Zhiyong Huang (People’s …

Approximation of functions by extended Lagrange interpolation

G Mastroianni - Approximation and Computation: A Festschrift in Honor …, 1994 - Springer
We consider some extended interpolation processes based on the zeros of the product of
two orthogonal polynomials and on some additional points near±1. We derive necessary …