| Chebyshev-Fouler级数部分和逼近有界变差函数 |
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| 引用本文： | 俞国华.Chebyshev-Fouler级数部分和逼近有界变差函数[J].宁波大学学报(理工版),1999(4). |
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| 作者姓名： | 俞国华 |
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| 作者单位： | 宁波大学数学系!浙江宁波３１５２１１ |
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| 基金项目： | 宁波大学科研基金!992102G |
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| 摘 要： | 讨论了Ｃｈｅｂｙｓｈｅｖ－Ｆｏｕｒｉｅｒ级数部分和逼近有界变差函数，得到结果：若ｆ是［－１，１］上的有界变差函数，则当ｎ≥４时，ｘ［－１，１］成立，其中
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| 关 键 词： | Chebyshev－Fourier级数 部分和 有界变差函数 逼近 |
Approximation of Bounded Variation Function by the Partial Sum of Chebyshev-Fourier Series |
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| YU Guo-hua.Approximation of Bounded Variation Function by the Partial Sum of Chebyshev-Fourier Series[J].Journal of Ningbo University(Natural Science and Engineering Edition),1999(4). |
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| Authors: | YU Guo-hua |
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| Abstract: | The Pointwise estimate of approximation of bounded variahon function by thepantal sum of C-F series is discussed, and the following result is obscened: if -1,1] then, forwhereis the total variation of function |
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| Keywords: | Chebyshev-Fourier series partial sum bounded variation funchon approximation |
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