Approximate approximations on nonuniform grids

  • 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
Published
2007-12-06
Issue
Vol 62 No 2 (2007)
Section
Articoli

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