UNIFORM CONVERGENCE OF HERMITE INTERPOLATION OF HIGHER ORDER

Yongping Feng; Wenming He

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UNIFORM CONVERGENCE OF HERMITE INTERPOLATION OF HIGHER ORDER

机译：高阶Hermite插值的一致收敛性

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摘要

In this paper the uniform convergence of Hermite-Fejer interpolation and Gruenwald type theorem of higher order on an arbitrary system of nodes are presented.

机译：本文给出了任意节点系统上的Hermite-Fejer插值和高阶Gruenwald型定理的一致收敛性。

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来源
《Journal of Computational Mathematics》 |2003年第2期|p.145-156|共12页
作者
Yongping Feng; Wenming He;
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作者单位

Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Science, Chinese Academy of Sciences, P. O. Box 2719, Beijing, 100080, China;

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原文格式 PDF
正文语种 eng
中图分类计算数学;
关键词
hermite-fejer interpolation; convergence; hermit interpolation;

机译：Hermite-fejer插值;收敛;埃尔米特插值;

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专利

1. ~L p-convergence of Hermite and Hermite-Fejér interpolation [J] . Della Vecchia B., Mastroianni G., Szili L., Journal of Approximation Theory . 2013,第Null期

机译：Hermite和Hermite-Fejér插值的〜L p收敛
2. Convergence and Divergence of Higher-Order Hermite or Hermite-Fejér Interpolation Polynomials with Exponential-Type Weights [J] . Hee SunJung, GouNakamura, RyoziSakai, International Scholarly Research Notices . 2012,第5期

机译：具有指数型权重的高阶Hermite或Hermite-Fejér插值多项式的收敛和发散
3. Convergence of Hermite and Hermite-Fejer interpolation of higher order for Freud weights [J] . Damelin SB., Kwon KH., Jung HS. Journal of Approximation Theory . 2001,第1期

机译：弗洛伊德权重的Hermite和Hermite-Fejer插值的高阶收敛
4. On the Convergence Rate of Hermite-Fejer Interpolation [C] . Shuhuang Xiang, Guo He International conference on spectral and high order methods . 2018

机译：Hermite-Fejer插值的收敛速度
5. Hermite Interpolation in the Treecode Algorithm [D] . St. Aubin, Benjamin J. 2019

机译：在Treecode算法中的Hermite插值
6. Convergence and norm estimates of Hermite interpolation at zeros of Chevyshev polynomials [O] . Kamel Al-Khaled, Marwan Alquran -1

机译：Chebyshev多项式为零的Hermite插值的收敛性和范数估计
7. Uniform or Mean Convergence of Hermite–Fejér Interpolation of Higher Order for Freud Weights [O] . Kasuga T., Sakai R. 1999

机译：弗洛伊德权重的高阶Hermite-Fejér插值的一致或均值收敛
8. Rate of Convergence of Hermite Interpolation Based on the Roots of Certain Jacobi Polynomials. [R] . ekong,victor jonathan udo 1972

机译：基于Jacobi多项式根的Hermite插值收敛速度。

UNIFORM CONVERGENCE OF HERMITE INTERPOLATION OF HIGHER ORDER

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