Lebesgue constants in polynomial interpolation.

Smith, Simon J.

Displaying similar documents to “Lebesgue constants in polynomial interpolation.”

On the fundamental polynomials for Hermite-Fejér interpolation of Lagrange type on the Chebyshev nodes.

Smith, Simon J. (1999)

Journal of Inequalities and Applications [electronic only]

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On the theorem of Géza Grünwald and Józef Marcinkiewicz

László Szili, Péter Vértesi (2011)

Banach Center Publications

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This survey is a tribute to Géza Grünwald and Józef Marcinkiewicz dealing with the so called Grünwald-Marcinkiewicz Theorem.

A Numerical study of Newton interpolation with extremely high degrees

Michael Breuß, Friedemann Kemm, Oliver Vogel (2018)

Kybernetika

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In current textbooks the use of Chebyshev nodes with Newton interpolation is advocated as the most efficient numerical interpolation method in terms of approximation accuracy and computational effort. However, we show numerically that the approximation quality obtained by Newton interpolation with Fast Leja (FL) points is competitive to the use of Chebyshev nodes, even for extremely high degree interpolation. This is an experimental account of the analytic result that the limit distribution...

An Algorithmic Approach to Hermite-Birkhoff-Interpolation.

G. Mühlbach (1981)

Numerische Mathematik

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On bivariate Hermite interpolation and the limit of certain bivariate Lagrange projectors

Phung Van Manh (2015)

Annales Polonici Mathematici

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We give a new poised bivariate Hermite scheme and a formula for the interpolation polynomial. We show that the Hermite interpolation polynomial is the limit of bivariate Lagrange interpolation polynomials at Bos configurations on circles.

On multivariate interpolation by weights.

Simian, Dana, Simian, Corina (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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On Hermite interpolation formula.

Branga, Adrian (1998)

General Mathematics

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Three ways of interpolation on finite elements

Šolín, Pavel, Segeth, Karel

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Interpolation on finite elements usually occurs in a Hilbert space setting, which means that interpolation techniques involving orthogonal projection are an alternative for the traditional Lagrange nodal interpolation schemes. In addition to the Lagrange interpolation, this paper discusses the global orthogonal projection and the projection-based interpolation. These techniques are compared from the point of view of quality, efficiency, sensitivity to input parameters and other aspects....