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arXiv · 1312.5986

Approximation in Sobolev spaces by piecewise affine interpolation

Jean Van Schaftingen
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Abstract

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.

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Jean Van Schaftingen. 2013-12-20. Approximation in Sobolev spaces by piecewise affine interpolation. https://doi.org/10.1016/j.jmaa.2014.05.036

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