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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…
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Related topics
Related topics
13 relations
Approximation
Chebyshev nodes
Computer
Condition number
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Broader (1)
Interpolation
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Review
2016
Review
2016
Lebesgue functions and Lebesgue constants in polynomial interpolation
B. A. Ibrahimoglu
Journal of Inequalities and Applications
2016
Corpus ID: 3726601
The Lebesgue constant is a valuable numerical instrument for linear interpolation because it provides a measure of how close the…
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2016
2016
Lebesgue Constant Using Sinc Points
Maha Youssef
,
H. El-Sharkawy
,
G. Baumann
Advances in Numerical Analysis
2016
Corpus ID: 33680971
Lebesgue constant for Lagrange approximation at Sinc points will be examined. We introduce a new barycentric form for Lagrange…
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2016
2016
On the Lebesgue constant of weighted Leja points for Lagrange interpolation on unbounded domains
P. Jantsch
,
C. Webster
,
Guannan Zhang
IMA Journal of Numerical Analysis
2016
Corpus ID: 119319543
This work focuses on weighted Lagrange interpolation on an unbounded domain, and analyzes the Lebesgue constant for a sequence of…
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2014
2014
An Analysis of Solution Point Coordinates for Flux Reconstruction Schemes on Triangular Elements
F. Witherden
,
P. Vincent
Journal of Scientific Computing
2014
Corpus ID: 44022378
The flux reconstruction approach offers an efficient route to high-order accuracy on unstructured grids. The location of the…
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Highly Cited
2011
Highly Cited
2011
On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
L. Bos
,
S. Marchi
,
K. Hormann
,
Georges Klein
Numerische Mathematik
2011
Corpus ID: 891831
Recent results reveal that the family of barycentric rational interpolants introduced by Floater and Hormann is very well-suited…
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2010
2010
Spectral element methods on unstructured meshes: which interpolation points?
R. Pasquetti
,
F. Rapetti
Numerical Algorithms
2010
Corpus ID: 21856279
In the field of spectral element approximations, the interpolation points can be chosen on the basis of different criteria, going…
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Highly Cited
2005
Highly Cited
2005
Bivariate polynomial interpolation on the square at new nodal sets
M. Caliari
,
S. Marchi
,
M. Vianello
Applied Mathematics and Computation
2005
Corpus ID: 17796678
1999
1999
On cardinal interpolation by Gaussian radial-basis functions: Properties of fundamental functions and estimates for Lebesgue constants
S. Riemenschneider
,
N. Sivakumar
1999
Corpus ID: 60309
AbstractSuppose λ is a positive number. Basic theory of cardinal interpolation ensures the existence of the Gaussian cardinal…
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1998
1998
On the Lebesgue function of weighted Lagrange interpolation. II
P. Vértesi
Journal of the Australian Mathematical Society…
1998
Corpus ID: 40206007
Abstract The aim of this paper is to continue our investigation of the Lebesgue function of weighted Lagrange interpolation by…
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Highly Cited
1991
Highly Cited
1991
Two results on polynomial interpolation in equally spaced points
L. N. Trefethen
,
J. Weideman
,
Charles K Chui
1991
Corpus ID: 10802440
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