Title
Extended Lagrange interpolation on the real line.
Abstract
Let {p"m(w"@a)}"m be the sequence of the polynomials orthonormal w.r.t. the Sonin-Markov weight w"@a(x)=e^-^x^^^2|x|^@a. The authors study extended Lagrange interpolation processes essentially based on the zeros of p"m(w"@a)p"m"+"1(w"@a), determining the conditions under which the Lebesgue constants, in some weighted uniform spaces, are optimal.
Year
DOI
Venue
2014
10.1016/j.cam.2013.01.019
J. Computational Applied Mathematics
Keywords
Field
DocType
real line,lagrange interpolation,lebesgue constant,weighted uniform space,sonin-markov weight w,extended lagrange interpolation,polynomials orthonormal w,orthogonal polynomials
Lagrange polynomial,Mathematical optimization,Polynomial,Orthogonal polynomials,Mathematical analysis,Real line,Orthonormal basis,Lebesgue integration,Mathematics
Journal
Volume
ISSN
Citations 
259
0377-0427
0
PageRank 
References 
Authors
0.34
4
3
Name
Order
Citations
PageRank
Donatella Occorsio194.00
Maria Grazia Russo252.98
RussoMaria Grazia300.34