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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Lagrange interpolation at real projections of Leja sequences for the unit disk


Authors: Jean-Paul Calvi and Phung Van Manh
Journal: Proc. Amer. Math. Soc. 140 (2012), 4271-4284
MSC (2010): Primary 41A05, 41A63
Published electronically: April 23, 2012
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-2012-11291-2
PII: S 0002-9939(2012)11291-2
Keywords: Lagrange interpolation, Lebesgue constants, Leja sequences
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
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.