Laiyi Zhu, Zhiyong Huang
Abstract
We study the optimal order of approximation for |x| α (0 < α < 1) by Lagrange interpolation polynomials based on Chebyshev nodes of the first kind. It is proved that the Jackson order of approximation is attained.
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We study the optimal order of approximation for |x| α (0 < α < 1) by Lagrange interpolation polynomials based on Chebyshev nodes of the first kind. It is proved that the Jackson order of approximation is attained.
Key concepts: Lagrange polynomial, Mathematics, Interpolation (computer graphics), Chebyshev polynomials, Order (exchange), Chebyshev nodes, Polynomial interpolation, Trigonometric interpolation