Автор |
Verfürth, Rüdiger |
Дата выпуска |
1999 |
dc.description |
For domains which are star-shaped w.r.t. at least one point, we give new bounds on the constants in Jackson-inequalities in Sobolev spaces. For convex domains, these bounds do not depend on the eccentricity. For non-convex domains with a re-entrant corner, the bounds are uniform w.r.t. the exterior angle. The main tool is a new projection operator onto the space of polynomials. |
Формат |
application.pdf |
Издатель |
EDP Sciences |
Копирайт |
© EDP Sciences, SMAI, 1999 |
Тема |
Jackson inequalities |
Тема |
polynomial approximation |
Тема |
Sobolev spaces. |
Название |
A note on polynomial approximation in Sobolev spaces |
Тип |
research-article |
DOI |
10.1051/m2an:1999159 |
Electronic ISSN |
1290-3841 |
Print ISSN |
0764-583X |
Журнал |
ESAIM: Mathematical Modelling and Numerical Analysis |
Том |
33 |
Первая страница |
715 |
Последняя страница |
719 |
Аффилиация |
Verfürth Rüdiger; Fakultät für Mathematik, Ruhr-Universität Bochum, 44780 Bochum, Germany. rv@silly.num1.ruhr-uni-bochum.de. |
Выпуск |
4 |