Safe convergence of Chebyshev-like method.

Petković, Ljiljana D.; Petković, Miodrag S.

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Convergence acceleration of alternating series.

Cohen, Henri, Rodriguez Villegas, Fernando, Zagier, Don (2000)

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A note on the rate of convergence for Chebyshev-Lobatto and Radau systems

Elías Berriochoa, Alicia Cachafeiro, Jaime Díaz, Eduardo Martínez (2016)

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This paper is devoted to Hermite interpolation with Chebyshev-Lobatto and Chebyshev-Radau nodal points. The aim of this piece of work is to establish the rate of convergence for some types of smooth functions. Although the rate of convergence is similar to that of Lagrange interpolation, taking into account the asymptotic constants that we obtain, the use of this method is justified and it is very suitable when we dispose of the appropriate information.

Interpolating the m-th power of x at the zeros of the n-th Chebyshev-polynomial yields an almost best Chebyshev-approximation.

H. Fiedler (1986)

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T. D. Narang (1986)

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Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions

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A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.