A note on polynomial approximation in Sobolev spaces
- Volume: 33, Issue: 4, page 715-719
- ISSN: 0764-583X
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topVerfürth, Rüdiger. "A note on polynomial approximation in Sobolev spaces." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 33.4 (1999): 715-719. <http://eudml.org/doc/193942>.
@article{Verfürth1999,
author = {Verfürth, Rüdiger},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Jackson's inequality; star shaped domains},
language = {eng},
number = {4},
pages = {715-719},
publisher = {Dunod},
title = {A note on polynomial approximation in Sobolev spaces},
url = {http://eudml.org/doc/193942},
volume = {33},
year = {1999},
}
TY - JOUR
AU - Verfürth, Rüdiger
TI - A note on polynomial approximation in Sobolev spaces
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1999
PB - Dunod
VL - 33
IS - 4
SP - 715
EP - 719
LA - eng
KW - Jackson's inequality; star shaped domains
UR - http://eudml.org/doc/193942
ER -
References
top- [1] C. Carstensen and St. A. Funken, Constants in Clément-interpolation error and residual based a posteriori error estimates in finite element methods. Report 97-11, Universität Kiel, Germany (1997). Zbl0973.65091
- [2] R.G. Durán, On polynomial approximation in Sobolev spaces. SIAM J. Numer. Anal. 20 (1983) 985-988. Zbl0523.41020MR714693
- [3] L.E. Payne and H.F. Weinberger, An optimal Poincaré-inequality for convex domains. Arch. Rational Mech. Anal. 5 (1960) 286-292. Zbl0099.08402MR117419
- [4] R. Verfürth, Error estimates for some quasi-interpolation operators. Report 227, Universität Bochum, Germany (1997); RAIRO Modél. Math. Anal. Numér. 33 (1999) 695-713. Zbl0938.65125MR1726480
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