Approximate Approximations with Data on a Perturbed Uniform Grid
Flavia Lanzara
Università di Roma La Sapienza, ItalyVladimir G. Maz'ya
Linköping University, SwedenGunther Schmidt
Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
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Abstract
The aim of this paper is to extend the approximate quasi-interpolation on a uniform grid by dilated shifts of a smooth and rapidly decaying function to the case that the data are given on a perturbed uniform grid. It is shown that high order approximation of smooth functions up to some prescribed accuracy is possible.
Cite this article
Flavia Lanzara, Vladimir G. Maz'ya, Gunther Schmidt, Approximate Approximations with Data on a Perturbed Uniform Grid. Z. Anal. Anwend. 27 (2008), no. 3, pp. 323–338
DOI 10.4171/ZAA/1358