Shift invariant operators and a saturation theorem

Karol Dziedziul

Karol Dziedziul

Applicationes Mathematicae, Tome 30 (2003), p. 267-286 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $Q_{f} h$ in the weak saturation formula the asymptotics of the expression is calculated. Moreover, bootstrap approximation is introduced.

Publié le : 2003-01-01

Zbl 1074.41016

EUDML-ID : urn:eudml:doc:279227

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     language = {en},
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Karol Dziedziul. Shift invariant operators and a saturation theorem. Applicationes Mathematicae, Tome 30 (2003) pp. 267-286. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am30-3-3/