Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1139887 | Mathematics and Computers in Simulation | 2009 | 10 Pages |
Abstract
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 [â1,1] are considered for each class of solutions.
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Control and Systems Engineering
Authors
Marina Chugunova, Dmitry Pelinovsky,