JournalszaaVol. 27 , No. 3DOI 10.4171/zaa/1358

Approximate Approximations with Data on a Perturbed Uniform Grid

  • Vladimir G. Maz'ya

    Linköping University, Sweden
  • Gunther Schmidt

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
  • Flavia Lanzara

    Università di Roma La Sapienza, Italy
Approximate Approximations with Data on a Perturbed Uniform Grid cover

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.