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Saturation theorems for interpolation and the Bernstein-Schnabl operator
Author(s):
Marek
Beska;
Karol
Dziedziul.
Journal:
Math. Comp.
70
(2001),
705-717.
MSC (2000):
Primary 41A15, 41A35, 41A25, 41A65, 41A40, 41A05
Posted:
November 27, 2000
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Additional information
Abstract:
We shall study properties of box spline operators: cardinal interpolation, convolution, and the Bernstein-Schnabl operator. We prove the saturation theorem.
References:
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Additional Information:
Marek
Beska
Affiliation:
Technical University of Gdansk, Faculty of Applied Mathematics, ul. Narutowicz 12/12, 80-952 Gdansk, Poland
Email:
beska@mifgate.pg.gda.pl
Karol
Dziedziul
Affiliation:
Technical University of Gdansk, Faculty of Applied Mathematics, ul. Narutowicz 12/12, 80-952 Gdansk, Poland
Email:
kdz@mifgate.pg.gda.pl
DOI:
10.1090/S0025-5718-00-01173-X
PII:
S 0025-5718(00)01173-X
Keywords:
Box splines,
cardinal interpolation,
convolution operators,
the Bernstein-Schnabl operator,
Randon-Nikodym property,
the saturation theorem.
Received by editor(s):
March 17, 1998
Received by editor(s) in revised form:
October 23, 1998 and February 4, 1999
Posted:
November 27, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
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