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THE DIVERGENCE OF LAGRANGE INTERPOLATION FOR |x|~a 被引量:2

THE DIVERGENCE OF LAGRANGE INTERPOLATION FOR |x|~a
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摘要 This paper shows that the sequence of Lagrange interpolation polynomials corresponding to the function f(x) = |x|α(1 <α< 2) on [-1, 1] can diverge everywhere in the interval except at zero and the end-points. 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.
出处 《Analysis in Theory and Applications》 2005年第4期385-394,共10页 分析理论与应用(英文刊)
关键词 LAGRANGE插值 距离节点 分歧点 BANACH空间 lagrange interpolation polynomial, equidistant nodes, diverge
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参考文献2

  • 1M. Revers.On Lagrange interpolatory parabolas to $\left | x\right | ^{\alpha }$ at equally spaced nodes[J].Archiv der Mathematik.2000(5)
  • 2Serge Bernstein.Quelques remarques sur l’interpolation[J].Mathematische Annalen (-).1918(1-2)

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