|
|||||
|
|
Weighted approximation by entire functions interpolating at finitely or infinitely many points on the real line |
|
| Authors: | Biancamaria Della Vecchia Giuseppe Mastroianni József Szabados |
| Institution: | 1. Dipartimento di Matematica, Università di Roma “La Sapienza”, Piazzale Aldo Moro 2, I-00185 Roma, Italy;2. Istituto per le Applicazioni del Calcolo ‘M. Picone’ CNR, Sede di Napoli, Via Pietro Castellino 111, I-80131 Napoli, Italy;3. Dipartimento di Matematica, Università della Basilicata, Contrada Macchia Romana, I-85100 Potenza, Italy;4. Alfréd Rényi Institute of Mathematics, P.O.B. 127, H-1364 Budapest, Hungary |
| Abstract: | We give error estimates for the weighted approximation of functions on the real line with Freud-type weights, by entire functions interpolating at finitely or infinitely many points on the real line. The error estimates involve weighted moduli of continuity corresponding to general Freud-type weights for which the density of polynomials is not always guaranteed. |
| Keywords: | Weighted approximation on the real line Freud-type weights Entire functions Interpolation at equidistant nodes |
| 本文献已被 ScienceDirect 等数据库收录！ | |