This article is cited in 13 papers

Mathematics

Application of Markov’s quadrature in orthogonal expansions

O. B. Arushanyan, S. F. Zaletkin

Lomonosov Moscow State University, Research Computing Center

Abstract: A method of using Markov's quadrature with a fixed node is proposed to calculate the coefficients of the expansion of a function in a Chebyshev shifted series. Approximation properties of a partial sum of the series with approximate coefficients are considered. This approach can be used to construct a number of numerical analytic methods for solving ordinary differential equations.

Key words: Markov's quadratures, Fourier–Chebyshev series, Chebyshev shifted series, orthogonal expansions, interpolation polynomials.

UDC: 519.651

Received: 19.02.2009

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