Name
Abstract | ||
|---|---|---|
In order to approximate functions defined on (−1,1) and having exponential singularities at the endpoints of the interval, we study the behavior of some modified Fourier Sums in an orthonormal system related to exponential weights. We give necessary and sufficient conditions for the boundedness of the related operators in suitable weighted Lp-spaces, with 1<p<∞. Then, in these spaces, these processes converge with the order of the best polynomial approximation. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.jat.2011.02.003 | Journal of Approximation Theory |
Keywords | DocType | Volume |
Orthogonal polynomials,Fourier series,Approximation by polynomials,Exponential weights | Journal | 163 |
Issue | ISSN | Citations |
5 | 0021-9045 | 1 |
PageRank | References | Authors |
0.43 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Giuseppe Mastroianni | 1 | 35 | 10.38 |
| I. Notarangelo | 2 | 4 | 2.44 |