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On a Linear Combination Operator of Neumann-Bessel Series

On a Linear Combination Operator of Neumann-Bessel Series
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摘要 In this paper we construct a new operator Hn,r(N,B) (f; z) by means of the partial sums S(N,S) (f; z) of Neumann-Bessel series. The operator converges uniformly to any fixed continuous function f(z) on the unit circle | z |= 1 and has the best approximation order for f(z) on | z |= 1. In this paper we construct a new operator H_(n,r)^((N,B))(f;z)by means of the partial sums S_n^((N,B))(f;z)of Neumann-Bessel series.The operator converges uniformly to any fixed continuous function f(z)on the unit circle |z|=1 and has the best approximation order for f(z)on |z|=1.
机构地区 College of Mathematics
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2008年第1期156-160,共5页 数学研究与评论(英文版)
关键词 Neumann-Bessel series kernel function best approximation order uniform conver-gence. Neumann-Bessel级数 线性组合算子 核函数 最佳逼近
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  • 1Mu Lehua. On Neumann-Bessel series[J] 1996,Approximation Theory and its Applications(1):68~77

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