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THE EXACT CONVERGENCE RATE AT ZERO OF LAGRANGE INTERPOLATION POLYNOMIAL TO|x|~α 被引量:2
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作者 Zhikang Lu xifang ge 《Analysis in Theory and Applications》 2006年第3期201-207,共7页
In this paper we present a generalized quantitative version of a result the exact convergence rate at zero of Lagrange interpolation polynomial to spaced nodes in [-1,1] due to M.Revers concerning f(x) = |x|α wit... In this paper we present a generalized quantitative version of a result the exact convergence rate at zero of Lagrange interpolation polynomial to spaced nodes in [-1,1] due to M.Revers concerning f(x) = |x|α with on equally 展开更多
关键词 Lagrange interpolation equidistant nodes CONVERGENCE
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THE DIVERGENCE OF LAGRANGE INTERPOLATION FOR |x|~a 被引量:2
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作者 Zhikang Lu xifang ge 《Analysis in Theory and Applications》 2005年第4期385-394,共10页
This paper shows that the sequence of Lagrange interpolation polynomials corresponding to the rune tion f(z) =|x|^α(1〈α〈2) on [-1,1] can diverge everywhere in the interval except at zero and the end-points.
关键词 lagrange interpolation polynomial equidistant nodes diverge
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