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富里埃级数的典型平均Q_n(f,x)在C与L_p空间中的逼近
引用本文:姜功建. 富里埃级数的典型平均Q_n(f,x)在C与L_p空间中的逼近[J]. 云南工业大学学报, 1990, 0(3)
作者姓名:姜功建
作者单位:安徽省芜湖师专
摘    要:本文研究[1]引入的富里埃级数的典型平均算子在■C~*与L~*_p空间中的逼近,得到了用高阶连续模表示的逼近度。

关 键 词:富里埃级数  连续模  逼近度

The Approximation of Typical Average Q_n (f,x) for Foruier Series in Spaces C and L_p
Jiang Gongjian. The Approximation of Typical Average Q_n (f,x) for Foruier Series in Spaces C and L_p[J]. , 1990, 0(3)
Authors:Jiang Gongjian
Abstract:Positive convoluiton operators have been proven to be great use in the theory of approximation. It is well known that the degree of approximation of peridic functions by positive operators has certain limitations. Therefore, in order to improve the degree of approximation, it is important to modify the form of operator suitably. In this paper we have obtained the degree of approximatimation by typical Gverage of Fourier series Qn (f,x) in spaces C and Lp
Keywords:Fourier series modulus of continuity degree of approxima tion
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