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Mixed Series of Chebyshev Polynomials Orthogonal on a Uniform Grid

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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.

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Translated from Matematicheskie Zametki, vol. 78, no. 3, 2005, pp. 442–465.

Original Russian Text Copyright ©2005 by I. I. Sharapudinov.

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Sharapudinov, I.I. Mixed Series of Chebyshev Polynomials Orthogonal on a Uniform Grid. Math Notes 78, 403–423 (2005). https://doi.org/10.1007/s11006-005-0139-3

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