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Approximation in Sobolev spaces by piecewise affine interpolation

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Van Schaftingen, Jean [UCL]

Functions in a Sobolev space are approximated directly by piecewise affine interpolation in the norm of the space. The proof is based on estimates for interpolations and does not rely on the density of smooth functions.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2014
Language Anglais
Journal information "Journal of Mathematical Analysis and Applications" - Vol. 420, no. 1, p. 40-47 (2014)
Peer reviewed yes
Publisher Academic Press (Maryland Heights)
issn 0022-247X
e-issn 1096-0813
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Keywords 1122 ; 1127
Links
Bibliographic reference Van Schaftingen, Jean. Approximation in Sobolev spaces by piecewise affine interpolation. In: Journal of Mathematical Analysis and Applications, Vol. 420, no. 1, p. 40-47 (2014)
Permanent URL http://hdl.handle.net/2078.1/152134