Title
Lagrange interpolation with exponential weights on (-1, 1).
Abstract
In order to approximate functions defined on (−1,1) with exponential growth for |x|→1, we consider interpolation processes based on the zeros of orthonormal polynomials with respect to exponential weights. Convergence results and error estimates in weighted Lp metric and uniform metric are given. In particular, in some function spaces, the related interpolating polynomials behave essentially like the polynomial of best approximation.
Year
DOI
Venue
2013
10.1016/j.jat.2012.12.001
Journal of Approximation Theory
Keywords
DocType
Volume
Orthogonal polynomials,Lagrange interpolation,Approximation by polynomials,Exponential weights
Journal
167
ISSN
Citations 
PageRank 
0021-9045
0
0.34
References 
Authors
3
2
Name
Order
Citations
PageRank
Giuseppe Mastroianni13510.38
I. Notarangelo242.44