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. 323–338DOI 10.4171/ZAA/1358