Authors
Citation
Sp. Zhou, ON RATIONAL LACUNARY APPROXIMATION ON THE INTERVAL [-1, 1], Journal of approximation theory, 81(2), 1995, pp. 185-194
Citations number
13
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00219045
Volume
81
Issue
2
Year of publication
1995
Pages
185 - 194
Database
ISI
SICI code
0021-9045(1995)81:2<185:ORLAOT>2.0.ZU;2-A
Abstract
The present paper discusses the approximation by rational combinations
of {x(nj)}(infinity)(j=1) on the interval [-1, 1] for a given sequenc
e of nonnegative distinct increasing integers {n(j)}. We End that the
gaps between odd and even numbers or between even and odd numbers of t
his sequence might be essential in this rational approximation case. T
his behavior is different from the polynomial approximation case. (C)
1995 Academic Press, Inc.