Approximate Approximations with Data on a Perturbed Uniform Grid
Vladimir G. Maz'ya
Linköping University, SwedenGunther Schmidt
Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, GermanyFlavia Lanzara
Università di Roma La Sapienza, Italy

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
Vladimir G. Maz'ya, Gunther Schmidt, Flavia Lanzara, Approximate Approximations with Data on a Perturbed Uniform Grid. Z. Anal. Anwend. 27 (2008), no. 3, pp. 323–338
DOI 10.4171/ZAA/1358