Lagrange interpolation at real projections of Leja sequences for the unit disk
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- by Jean-Paul Calvi and Phung Van Manh PDF
- Proc. Amer. Math. Soc. 140 (2012), 4271-4284 Request permission
Abstract:
We show that the Lebesgue constants of the real projection of Leja sequences for the unit disk grow like a polynomial. The main application is the first construction of explicit multivariate interpolation points in $[-1,1]^N$ whose Lebesgue constants also grow like a polynomial.References
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Additional Information
- Jean-Paul Calvi
- Affiliation: Institut de Mathématiques de Toulouse, Université Paul Sabatier, Toulouse, France
- Email: jean-paul.calvi@math.univ-toulouse.fr
- Phung Van Manh
- Affiliation: Institut de Mathématiques, Université de Toulouse III and CNRS (UMR 5219), 31062, Toulouse Cedex 9, France – and – Department of Mathematics, Hanoi University of Education, 136 Xuan Thuy street, Caugiay, Hanoi, Vietnam
- Email: manhlth@gmail.com
- Received by editor(s): February 21, 2011
- Received by editor(s) in revised form: June 3, 2011
- Published electronically: April 23, 2012
- Communicated by: Walter Van Assche
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 4271-4284
- MSC (2010): Primary 41A05, 41A63
- DOI: https://doi.org/10.1090/S0002-9939-2012-11291-2
- MathSciNet review: 2957218