On a linear combination of S.N. Bernstein trigonometric interpolation polynomial

Authors
He, JX
Citation
Jx. He, On a linear combination of S.N. Bernstein trigonometric interpolation polynomial, APPL MATH C, 106(2-3), 1999, pp. 197-203
Citations number
4
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
106
Issue
2-3
Year of publication
1999
Pages
197 - 203
Database
ISI
SICI code
0096-3003(199912)106:2-3<197:OALCOS>2.0.ZU;2-2
Abstract
In this paper a new trigonometric polynomial operator through S.N. Bernstei n trigonometric interpolation polynomial is constructed. It converges for e ach f(x) is an element of C-2 pi uniformly on (-infinity,+infinity), and ha s the best approximation order, and its saturation order is 1/n(r+1) (where r is an odd natural number). (C) 1999 Elsevier Science Inc. All rights res erved.