On the uniform convergence of the Chebyshev interpolants for solitons

We discuss polynomial interpolation and derive sufficient conditions for the uniform convergence of Chebyshev interpolants for different classes of functions. Rigorous results are illustrated with a number of examples which include solitons on an infinite line with algebraic, exponential and Gaussian decay rates. Suitable mappings of the real line to the interval [−1,1] are considered for each class of solutions.

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Year of publication:	2009
Authors:	Chugunova, Marina ; Pelinovsky, Dmitry
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 80.2009, 4, p. 794-803
Publisher:	Elsevier
Subject:	Chebyshev interpolation \| uniform convergence \| solitons

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011051134