| Fourier级数的L~φ平均 |
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| 引用本文： | 褚志仁.Fourier级数的L~φ平均[J].汕头大学学报(自然科学版),1987(1). |
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| 作者姓名： | 褚志仁 |
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| 作者单位： | 汕头大学数学系 |
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| 摘 要： | 本文推广了级数的典型平均和文2]中提出的L~*、L_1~*求和法,给出一类包括它们在内的较广泛的级数求和法,即所谓L~φ求和法.首先讨论了在Banach空间中用级数的L~φ平均逼近的一般问题,然后用所得的结果讨论周期函数的逼近问题,推广了文1]、2]和6]中的一些结果.
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| 关 键 词： | 巴拿赫空间 求和法 逼近 |
L~φ Means of Fourier Series |
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| Chu Zhiren.L~φ Means of Fourier Series[J].Journal of Shantou University(Natural Science Edition),1987(1). |
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| Authors: | Chu Zhiren |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper is given L~φ means of Series which is a kind of summation more extensive than both the typical means and the L~*, L_1~* summation given in article 2]. First, we study the general problem of approximation with L~φ means of series in the Banach space. Next, with resuits obtained we discuss approximation of periodic function. Some results given in articles 1], 2] and 6] have been extended. |
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| Keywords: | Banach space Summation Approximation |
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