• 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
  • Pages
    8
  • From page
    40
  • To page
    47
  • 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
  • Serial Year
    2014
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1564772