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On an Estimatation of Convergence Order of a New Grunwald Polynomial Operator

On an Estimatation of Convergence Order of a New Grunwald Polynomial Operator
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摘要 In this paper, we study the convergence order of a new polynominal operator H n(f;x,r) through Grnwald polynomial operator appoximating f(x)∈C j [-1,1] ,j≤r. The result of paper [1] is improved. In this paper, we study the convergence order of a new polynominal operator H n(f;x,r) through Grnwald polynomial operator appoximating f(x)∈C j [-1,1] ,j≤r. The result of paper [1] is improved.
出处 《The Journal of China Universities of Posts and Telecommunications》 EI CSCD 2000年第3期34-37,共4页 中国邮电高校学报(英文版)
关键词 Grnwald polynomial operator uniform convergence best approximation order Grnwald polynomial operator uniform convergence best approximation order
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参考文献3

  • 1 HE Jia-xing. On the linearcombination of Grünwaldpolynomial operator[J]. Applied Mathematics and Computation,1998,96:117-126.
  • 2 X Ting-fan, S Xie-hua. On the interpolation processes of Bernstion type andBernstein-Grünwald type [J].Acta Math Sinica,1985,28(4):455-469.
  • 3 VARMA A K. A new proof of A.F.Timans approximation theorem [J]. J ApproxTheory,1976,18:57-62. Received date: 2000-04-28

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