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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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

- Gaspare Da Fies, Marco Vianello
- Journal of Approximation Theory
- 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

- Len Bos, Stefano De Marchi, Kai Hormann, Georges Klein
- Numerische Mathematik
- 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

- Simon Smith, S. J. Smith
- 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

- Len Bos, Stefano De Marchi, Marco Vianello
- Journal of Approximation Theory
- 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

- E. Liflyand
- 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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