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arxiv: 1102.3629 · v1 · pith:KBYJPN42new · submitted 2011-02-17 · 🧮 math.NA

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

classification 🧮 math.NA
keywords constantdiskgrowsinterpolationlebesguelejalikepolynomial
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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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