SIMULTANEOUSE APPROXIMATION TO A DIFFERENTIABLE FUNCTION AND ITS DERIVATIVES BY LAGRANGE INTERPOLATING POLYNOMIALS
SIMULTANEOUSE APPROXIMATION TO A DIFFERENTIABLE FUNCTION AND ITS DERIVATIVES BY LAGRANGE INTERPOLATING POLYNOMIALS作者机构：China Institute of MetrologyChina Universy of AlbertaCanada
出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)
年 卷 期：1994年第10卷第4期
页 面：100-109页
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：The second named author was supported in part by an NSERC Postdoctoral Fellowship Canada and a CR F Grant University of Alberta
主 题：SIMULTANEOUSE APPROXIMATION TO A DIFFERENTIABLE FUNCTION AND ITS DERIVATIVES BY LAGRANGE INTERPOLATING POLYNOMIALS APPI Zr
摘 要：This paper establishes the following pointwise result for simultancous Lagrange imterpolating approxima- tion:,then |f^(k)(x)-P_n^(k)(f,x)|=O(1)△_n^(q-k)(x)ω where P_n(f,x)is the Lagrange interpolating potynomial of deereeon the nodes X_nUY_n(see the definition of the next).
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