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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Norm estimates of interpolation matrices and their inverses associated with strictly positive definite functions
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by J. Levesley, Z. Luo and X. Sun PDF
Proc. Amer. Math. Soc. 127 (1999), 2127-2134 Request permission

Abstract:

In this paper, we estimate the norms of the interpolation matrices and their inverses that arise from scattered data interpolation on spheres with strictly positive definite functions.
References
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Additional Information
  • J. Levesley
  • Email: jl1@mcs.le.ac.uk
  • Z. Luo
  • Affiliation: Department of Mathematics and Computer Sciences, University of Leicester, Leicester LE1 7RH, England
  • Email: zl3@mcs.le.ac.uk
  • X. Sun
  • Affiliation: Department of Mathematics, The University of Texas at Austin, Austin, Texas 78712
  • Address at time of publication: Department of Mathematics, Southwest Missouri State University, Springfield, Missouri 65804
  • Email: xis280f@cnas.smsu.edu
  • Received by editor(s): December 26, 1996
  • Received by editor(s) in revised form: August 26, 1997
  • Published electronically: February 26, 1999
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 2127-2134
  • MSC (1991): Primary 65F35
  • DOI: https://doi.org/10.1090/S0002-9939-99-04683-3
  • MathSciNet review: 1476145