Chapter 2. Chebyshev Points and Interpolants

2019 ◽  
pp. 7-12
Keyword(s):  
Chebyshev Points

scholarly journals Covering and separation of Chebyshev points for non-integrable Riesz potentials

2018 ◽  
Vol 46 ◽  
pp. 19-44 ◽  
Author(s):  
A. Reznikov ◽  
E. Saff ◽  
A. Volberg
Keyword(s):  
Riesz Potentials ◽  
Chebyshev Points

scholarly journals Vandermonde matrices on Chebyshev points

1998 ◽  
Vol 283 (1-3) ◽  
pp. 205-219 ◽  
Author(s):  
A. Eisinberg ◽  
G. Franzé ◽  
P. Pugliese
Keyword(s):  
Vandermonde Matrices ◽  
Chebyshev Points

Newton Interpolation in Fejer and Chebyshev Points

1989 ◽  
Vol 53 (187) ◽  
pp. 265 ◽  
Author(s):  
Bernd Fischer ◽  
Lothar Reichel
Keyword(s):  
Newton Interpolation ◽  
Chebyshev Points

Analyzing the Precision of Chebyshev Polynomial Fitting GPS Satellite Ephemeris

2013 ◽  
Vol 353-356 ◽  
pp. 3410-3413 ◽  
Author(s):  
Shao Feng Xie ◽  
Peng Fei Zhang ◽  
Li Long Liu
Keyword(s):  
Chebyshev Polynomial ◽  
Interpolation Node ◽  
Polynomial Fitting ◽  
Chebyshev Points ◽  
Precise Ephemeris ◽  
The Difference

Using Chebyshev polynomial to fit precise ephemeris of GPS, the nodes selection has a certain influence on the precision. In this paper we use 3 kinds of precise ephemeris ( IGF, IGR, IGU ) to analyze the difference precision of randomly selected interpolation node and Chebyshev points fitting orbit and compare the difference and precision of fitting orbit by 3 kinds of ephemeris and orbit provided by IGS. The result shows that using Chebyshev points to fit precise ephemeris, the precision of IGF and IGR can achieve mm levels, the precision of IGU can achieve cm levels.

scholarly journals Exponential convergence of a linear rational interpolant between transformed Chebyshev points

1999 ◽  
Vol 68 (227) ◽  
pp. 1109-1121 ◽  
Author(s):  
Richard Baltensperger ◽  
Jean-Paul Berrut ◽  
Benjamin Noël
Keyword(s):  
Exponential Convergence ◽  
Chebyshev Points

scholarly journals Fast and Stable Rational Interpolation in Roots of Unity and Chebyshev Points

2012 ◽  
Vol 50 (3) ◽  
pp. 1713-1734 ◽  
Author(s):  
Ricardo Pachón ◽  
Pedro Gonnet ◽  
Joris van Deun
Keyword(s):  
Rational Interpolation ◽  
Roots Of Unity ◽  
Chebyshev Points

scholarly journals Newton interpolation in Fejér and Chebyshev points

1989 ◽  
Vol 53 (187) ◽  
pp. 265-265
Author(s):  
Bernd Fischer ◽  
Lothar Reichel
Keyword(s):  
Newton Interpolation ◽  
Chebyshev Points

scholarly journals Hermite-Fejer interpolation at the ‘practical’ Chebyshev nodes

1973 ◽  
Vol 9 (3) ◽  
pp. 379-390
Author(s):  
R.D. Riess
Keyword(s):  
Continuous Functions ◽  
Negative Results ◽  
Chebyshev Nodes ◽  
Chebyshev Points ◽  
Uniformly Convergent ◽  
Lagrangian Interpolation

Berman has raised the question in his work of whether Hermite-Fejér interpolation based on the so-called “practical” Chebyshev points, , 0(1)n, is uniformly convergent for all continuous functions on the interval [−1, 1]. In spite of similar negative results by Berman and Szegö, this paper shows this result is true, which is in accord with the great similarities of Lagrangian interpolation based on these points versus the points , 1(1)n.

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