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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… (More)
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Topic mentions per year

1978-2017
024619782017

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12 relations
ApproximationChebyshev nodesComputerCondition number
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Broader (1)

Interpolation

Related mentions per year

Related mentions per year

1936-2018
19401960198020002020
Lebesgue constant (interpolation)
Polynomial
Approximation
Computer
Interpolation
Condition number

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
Lebesgue Constant Minimizing Bivariate Barycentric Rational Interpolation
The barycentric form is the most stable formula for a rational interpolant on a finite interval. The choice of the barycentric… (More)
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2013
2013
On the Lebesgue constant of subperiodic trigonometric interpolation
We solve a recent conjecture, proving that the Lebesgue constant of Chebyshev-like angular nodes for trigonometric interpolation… (More)
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2013
2013
Bounding the Lebesgue constant for Berrut's rational interpolant at general nodes
It has recently been shown that the Lebesgue constant for Berrut’s rational interpolant at equidistant nodes grows… (More)
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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… (More)
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2012
2012
Radial orthogonality and Lebesgue constants on the disk
In polynomial interpolation, the choice of the polynomial basis and the location of the interpolation points play an important… (More)
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Review
2007
Review
2007
Lebesgue constants in polynomial interpolation
Lagrange interpolation is a classical method for approximating a continuous function by a polynomial that agrees with the… (More)
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2006
2006
On the Lebesgue constant for the Xu interpolation formula
In the paper [8], the author introduced a set of Chebyshev-like points for polynomial interpolation (by a certain subspace of… (More)
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2004
2004
On the Lebesgue constant for Lagrange interpolation on equidistant nodes
Properties of the Lebesgue function for Lagrange interpolation on equidistant nodes are investigated. It is proved that the… (More)
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Highly Cited
2003
Highly Cited
2003
The numerical stability of barycentric Lagrange interpolation
The Lagrange representation of the interpolating polynomial can be rewritten in two more computationally attractive forms: a… (More)
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1994
1994
Lebesgue Constant Minimizing Linear Rational Interpolation of Continuous Functions over the Interval
Polynomial interpolation between large numbers of arbitrary nodes does notouriously not in general yield useful approximations of… (More)
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