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Lebesgue constant (interpolation)

Known as: Lebesgue constant, Lebesgue constants (interpolation), Lebesgue function 
In mathematics, the Lebesgue constants (depending on a set of nodes and of its size) give an idea of how good the interpolant of a function (at the… Expand
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Related topics

Related topics

13 relations
ApproximationChebyshev nodesComputerCondition number
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Broader (1)

Interpolation

Papers overview

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2013
2013
On the Lebesgue constant of Leja sequences for the complex unit disk and of their real projection
We consider Leja sequences of points for polynomial interpolation on the complex unit disk U and the corresponding sequences for… Expand
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2012
2012
On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
Recent results reveal that the family of barycentric rational interpolants introduced by Floater and Hormann is very well-suited… Expand
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2010
2010
Spectral element methods on unstructured meshes: which interpolation points?
In the field of spectral element approximations, the interpolation points can be chosen on the basis of different criteria, going… Expand
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2008
2008
Ukuran lebesgue dalam garis bilangan real
INDONESIA: Ukuran Lebesgue pertama kali ditemukan oleh Henry Leon Lebesgue, pada tahun 1875-1944. Ukuran Lebesgue dari A yang… Expand
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2006
2006
On the Lebesgue constant for the Xu interpolation formula
In the paper [Y. Xu, Lagrange interpolation on Chebyshev points of two variables, J. Approx. Theory 87 (1996) 220-238], the… Expand
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Review
2006
Review
2006
Lebesgue constants in polynomial interpolation
Lagrange interpolation is a classical method for approximating a continuous function by a polynomial that agrees with the… Expand
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Highly Cited
2005
Highly Cited
2005
Bivariate polynomial interpolation on the square at new nodal sets
Abstract As known, the problem of choosing “good” nodes is a central one in polynomial interpolation. While the problem is… Expand
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2005
2005
Improved Lebesgue constants on the triangle
New sets of points with improved Lebesgue constants in the triangle are calculated. Starting with the Fekete points a direct… Expand
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1998
1998
On the Lebesgue function of weighted Lagrange interpolation. II
The aim of this paper is to continue our investigation of the Lebesgue function of weighted Lagrange interpolation by considering… Expand
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1997
1997
Lebesgue constant minimizing linear rational interpolation of continuous functions over the interval
Abstract Polynomial interpolation between large numbers of arbitrary nodes does notoriously not, in general, yield useful… Expand
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