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关于一类Hermite-Fejér插值算子的平均收敛

On the Mean Convergence of Some Hermite-Fejér Interpolation Operators
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摘要 本文给出基于{xk}_(k=0)^(n+1)的Hermite-Fejér插值算子平均收敛的一些新结论,这里x0=1,xn+1=-1,xk(k=1,2,…,n)是n阶Jacobi多项式的零点. In this paper, we give some new results of the mean convergence of Hermite-Fejer interpolation operators based on the nodes {xk}k=0n1, where X0=-1, xn+1=-1, xk (k=1,2,...,n) are the zeros of the n-th Jacobi polynomial.
作者 谢庭藩
机构地区 中国计量学院
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2002年第5期979-986,共8页 Acta Mathematica Sinica:Chinese Series
基金 国家质量技术监督局资助项目
关键词 HERMITE-FEJER插值算子 平均收敛 JACOBI多项式 Interpolation Mean convergence Jacobi polynomial
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参考文献9

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