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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2013

2013

- Len Bos, Stefano De Marchi, Kai Hormann, Jean Sidon
- Journal of Approximation Theory
- 2013

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

- 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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2012

2012

- Annie A. M. Cuyt, Irem Yaman, Bayram Ali Ibrahimoglu, Brahim Benouahmane
- Numerical Algorithms
- 2012

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

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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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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Highly Cited

2003

Highly Cited

2003

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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