Geodesic
Shift invariant operators and a saturation theorem
Karol Dziedziul1
1 Faculty of Applied Mathematics Gdańsk University of Technology G. Narutowicza 11/12 80-952 Gdańsk, Poland
Applicationes Mathematicae, Tome 30 (2003) no. 3, pp. 267-286 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The properties of shift invariant operators $Q_h$ are proved: It is shown that $Q$ has polynomial order $r$ iff $r$ is the rate of convergence of $Q_h$. A weak saturation theorem is given. If $f$ is replaced by $Q_hf$ in the weak saturation formula the asymptotics of the expression is calculated. Moreover, bootstrap approximation is introduced.
DOI : 10.4064/am30-3-3
Keywords: properties shift invariant operators proved shown has polynomial order rate convergence weak saturation theorem given replaced weak saturation formula asymptotics expression calculated moreover bootstrap approximation introduced

Karol Dziedziul 1

1 Faculty of Applied Mathematics Gdańsk University of Technology G. Narutowicza 11/12 80-952 Gdańsk, Poland 
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Karol Dziedziul. Shift invariant operators and
 a saturation theorem. Applicationes Mathematicae, Tome 30 (2003) no. 3, pp. 267-286. doi: 10.4064/am30-3-3

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