Title of article :
Approximation in Sobolev spaces by piecewise affine interpolation
Author/Authors :
Jean Van Schaftingen، نويسنده , , Jean، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2014
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.
Keywords :
Sobolev space , Lagrange Interpolation , Piecewise affine function , Density , linear interpolation , approximation
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
