Shift invariant operators and a saturation theorem

Karol Dziedziul. "Shift invariant operators and a saturation theorem." Applicationes Mathematicae 30.3 (2003): 267-286. <http://eudml.org/doc/279227>.

@article{KarolDziedziul2003,
abstract = {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.},
author = {Karol Dziedziul},
journal = {Applicationes Mathematicae},
keywords = {shift invariant operator; saturation; polynomial order; bootstrap; asymptotic formula},
language = {eng},
number = {3},
pages = {267-286},
title = {Shift invariant operators and a saturation theorem},
url = {http://eudml.org/doc/279227},
volume = {30},
year = {2003},
}

TY - JOUR
AU - Karol Dziedziul
TI - Shift invariant operators and a saturation theorem
JO - Applicationes Mathematicae
PY - 2003
VL - 30
IS - 3
SP - 267
EP - 286
AB - 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.
LA - eng
KW - shift invariant operator; saturation; polynomial order; bootstrap; asymptotic formula
UR - http://eudml.org/doc/279227
ER -