PRECISE BEHAVIOUR OF THE APPROXIMATION NUMBERS OF THE SOBOLEV EMBEDDING IN THE ONE-DIMENSION CASE

JAN LANG

langjan@yahoo.com, lang@math.ohio-state.edu

Department of Mathematics

The Ohio State University

231 W 18th Avenue

Columbus, OH 43210, USA

The Ohio State University

231 W 18th Avenue

Columbus, OH 43210, USA

**N**
We consider the Sobolev embedding
and
. We show that for all in
the -th approximation number of is given by

EPSRC Gregynog Workshop, 21-26 July 2002