Saturation theorems for interpolation and the Bernstein-Schnabl operator
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- by Marek Beśka and Karol Dziedziul PDF
- Math. Comp. 70 (2001), 705-717 Request permission
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 Beśka
- Affiliation: Technical University of Gdańsk, Faculty of Applied Mathematics, ul. Narutowicz 12/12, 80-952 Gdańsk, Poland
- Email: beska@mifgate.pg.gda.pl
- Karol Dziedziul
- Affiliation: Technical University of Gdańsk, Faculty of Applied Mathematics, ul. Narutowicz 12/12, 80-952 Gdańsk, Poland
- Email: kdz@mifgate.pg.gda.pl
- Received by editor(s): March 17, 1998
- Received by editor(s) in revised form: October 23, 1998, and February 4, 1999
- Published electronically: November 27, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Math. Comp. 70 (2001), 705-717
- MSC (2000): Primary 41A15, 41A35, 41A25, 41A65, 41A40, 41A05
- DOI: https://doi.org/10.1090/S0025-5718-00-01173-X
- MathSciNet review: 1677470