| 具有BV性质的函数的Fourier-Laplace级数的绝对求和 |
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| 引用本文： | 张玉俊,何效员.具有BV性质的函数的Fourier-Laplace级数的绝对求和[J].北京师范大学学报(自然科学版),2005,41(4):354-357. |
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| 作者姓名： | 张玉俊 何效员 |
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| 作者单位： | 河北北方学院,075000,河北,张家口;北京市一零一中学,100091,北京 |
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| 摘 要： | 借助于等收敛算子, 得到了球面上具有BV性质的函数的Fourier-Laplace级数的绝对求和的收敛速度的估计式.
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| 关 键 词： | Fourier-Laplace级数 Cesàro平均 等收敛算子 有界变差 绝对求和 |
| 收稿时间： | 2005-05-19 |
| 修稿时间： | 2005年5月19日 |
ABSOLUTE SUMMATION OF FOURIER-LAPLACE SERIES FOR FUNCTIONS WITH BV PROPERTIES |
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| Zhang Yujun,He Xiaoyuan.ABSOLUTE SUMMATION OF FOURIER-LAPLACE SERIES FOR FUNCTIONS WITH BV PROPERTIES[J].Journal of Beijing Normal University(Natural Science),2005,41(4):354-357. |
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| Authors: | Zhang Yujun He Xiaoyuan |
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| Institution: | 1 College of Mathematical Sciences, Beijing Normal University, 100875, Beijing, China;2 Beijing 101 Secondary School, 100091, Beijing, China |
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| Abstract: | The estimate of the convergence rate of absolute summation is obtained in terms of equiconvergent operators for the Fourier-Laplace series of functions having BV properties on the unit sphere. |
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| Keywords: | Fourier-Laplace series Cesdro means equiconvergent operator tounded variation absolutesummation |
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