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用Tchebycheff-Fourier级数的(F,α)平均逼近函数类Lipβ的误差 被引量:1

On the Error of Approximation of Classes Lipβ by (F,α) Means of Tchebycheff-Fourier Series
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摘要 本文考虑用Tchebycheff-Fourier级数的(F,α)平均逼近函数f∈C[-1,1],在f∈lipβ时得到了误差的表达式,较大地改进了文[1]中的有关结果. In this paper we consider the approximation of f ∈ C [- 1, 1] by (F,α)means of Tchebycheff-Fourier Series. Mainly. the expressions of error of approximation are obtained when f ∈lipβ. The similar result of Sheng [1] has been improved.
作者 徐延安
出处 《贵州大学学报(自然科学版)》 1997年第4期249-254,共6页 Journal of Guizhou University:Natural Sciences
关键词 T-F级数 平均逼近函数 逼近阶 逼近误差 Tchebycheff-Fourier Series, (F,α) means,class lipβ,order of approximation, error of approximation
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参考文献2

  • 1Sheng Shuyn. On the approximation of Tchebycheff-Fourier series in the C space andL P ω space[J] 1995,Approximation Theory and its Applications(2):30~40
  • 2Liu Ruizhen. On the approximation of differentiable functions by Vallée-Poussin sums of T-F series[J] 1989,Approximation Theory and its Applications(2):1~7

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