Name
Abstract | ||
|---|---|---|
In order to approximate functions defined on the real semiaxis, which can grow exponentially both at 0 and at +∞, we introduce a suitable Lagrange operator based on the zeros of orthogonal polynomials with respect to the weight w(x)=xγe−x−α−xβ. We prove that this interpolation process has Lebesgue constant with order logm in weighted uniform metric and converges with the order of the best approximation in a large subset of weighted Lp-spaces, 1<p<∞, with proper assumptions. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.jat.2019.04.004 | Journal of Approximation Theory |
Keywords | Field | DocType |
41A05,41A10 | Lagrange polynomial,Laguerre polynomials,Orthogonal polynomials,Mathematical analysis,Interpolation,Operator (computer programming),Lebesgue integration,Mathematics | Journal |
Volume | ISSN | Citations |
245 | 0021-9045 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| G. Mastroianni | 1 | 29 | 7.96 |
| I. Notarangelo | 2 | 4 | 2.44 |