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On the uniform convergence of the Chebyshev interpolants for solitons

Author

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  • Chugunova, Marina
  • Pelinovsky, Dmitry

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 [−1,1] are considered for each class of solutions.

Suggested Citation

  • Chugunova, Marina & Pelinovsky, Dmitry, 2009. "On the uniform convergence of the Chebyshev interpolants for solitons," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 794-803.
    • Handle: RePEc:eee:matcom:v:80:y:2009:i:4:p:794-803
    DOI: 10.1016/j.matcom.2009.08.034
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    Cited by:

    1. Sebastien Menard, 2021. "Optimal sickness benefits in a principal–agent model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(1), pages 5-33, July.

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