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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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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.
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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