Approximate approximations on nonuniform grids

Authors

  • Flavia Lanzara Università “La Sapienza”
  • Vladimir Maz'ya University of Linkoping
  • Gunther Schmidt Weierstrass Institute for Applied Analysis and Stochastics

Keywords:

Scattered data quasi-interpolation, Multivariate approximation, Error estimate

Abstract

We present an extension of approximate quasi-interpolation on uniformly distributed nodes, to functions given on a set of nodes close to an uniform, not necessarily cubic, grid.

Author Biographies

  • Flavia Lanzara, Università “La Sapienza”
    Dipartimento di Matematica,
    Piazzale Aldo Moro 2, 00185 Roma, Italy
  • Vladimir Maz'ya, University of Linkoping
    Department of Mathematics
    University of Linkoping, 581 83 Linkoping, Sweden;
    Department of Mathematics, Ohio State University
    231 W 18th Avenue, Columbus, OH 43210, USA;
    Department of Mathematical Sciences,
    M&O Building, University of Liverpool
    Liverpool L69 3BX, UK
  • Gunther Schmidt, Weierstrass Institute for Applied Analysis and Stochastics
    Weierstrass Institute for Applied Analysis and Stochastics
    Mohrenstr. 39, 10117 Berlin, Germany

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Published

2007-12-06

Issue

Vol. 62 No. 2 (2007)

Section

Articoli

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