Lebesgue constant

Known as: Lebesgue constants, 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

Topic mentions per year

1978-2017
051019782017

Papers overview

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2013
2013
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
We solve a recent conjecture, proving that the Lebesgue constant of Chebyshev-like angular nodes for trigonometric interpolation… (More)
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2012
2012
Recent results reveal that the family of barycentric rational interpolants introduced by Floater and Hormann is very well-suited… (More)
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2010
2010
We study the Lebesgue constant of the rational interpolant of Berrut (cf. [1]) when the interpolation points are equally… (More)
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Review
2007
Review
2007
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
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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2006
2006
This is an attempt of a comprehensive treatment of the results concerning estimates of the L-norms of linear means of multiple… (More)
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2004
2004
Properties of the Lebesgue function for Lagrange interpolation on equidistant nodes are investigated. It is proved that the… (More)
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2000
2000
We examine a certain class of Schauder bases for the space C[−1, 1] consisting of algebraic polynomials orthogonal with respect… (More)
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1994
1994
Polynomial interpolation between large numbers of arbitrary nodes does notouriously not in general yield useful approximations of… (More)
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