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

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

2011-02-17

arxiv.org/abs/1102.3629v1

Journal of Approximation Theory,163(5), p. 608-622, 2011

Mathematics

Numerical Analysis

12 pages, 2 figures

Scientific paper

10.1016/j.jat.2011.02.001

We show that the Lebesgue constant of the real projection of Leja sequences
for the unit disk grows like a polynomial. The main application is the first
construction of explicit multivariate interpolation points in $[-1,1]^N$ whose
Lebesgue constant also grows like a polynomial.

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