| 卷积型采样级数的点态收敛度 |
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| 引用本文： | 熊萍.卷积型采样级数的点态收敛度[J].湖北大学学报(自然科学版),1999,21(1):12-16. |
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| 作者姓名： | 熊萍 |
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| 作者单位： | 湖北大学数学与计算机科学学院!湖北武汉，430062 |
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| 摘 要： | Shannon采样定理在通信理论等领域有着重要作用和广泛应用讨论了基于Fejer型核的卷积分采样的广义采样级数，建立了广义采样级数的点态收敛度估计，并应用于刻划小波级数的逼近度．
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| 关 键 词： | 采要级数 小波 信号处理 点态收敛度 卷积型 |
On the Degree of Pointwise Convergence of Sampling Series Based on Convolution Integrals |
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| Xiong Ping, Chu Yangjie.On the Degree of Pointwise Convergence of Sampling Series Based on Convolution Integrals[J].Journal of Hubei University(Natural Science Edition),1999,21(1):12-16. |
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| Authors: | Xiong Ping Chu Yangjie |
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| Abstract: | Shannon's sampling theorem is very important and has been widely used in communication engineering and signal theory. Concerned with the generalization of sampling series based on sampling with convolution integrals of Fejer type kernel. Estimated the degree of pointwise convergence of these series, described the degree of approximation of wavelet series. |
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| Keywords: | Sampling series Shannon's sampling theorem Wavelets |
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