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Mathematical Notes

, Volume 78, Issue 3–4, pp 403–423 | Cite as

Mixed Series of Chebyshev Polynomials Orthogonal on a Uniform Grid

  • I. I. Sharapudinov
Article

Abstract

We construct an expansion of a discrete function in the form of a mixed series of Chebyshev polynomials. We obtain estimates of the approximation error of the function and its derivatives.

Key words

Chebyshev polynomials mixed series of orthogonal polynomials approximation of discrete functions discrete Fourier-Chebyshev series Christoffel-Darboux formula 

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • I. I. Sharapudinov
    • 1
  1. 1.Dagestan State Pedagogical UniversityMakhachkala

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