| 确定性信号的Poisson过程与局部平均采样逼近 |
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| 引用本文： | 胡玉梅,叶培新,宋艳霞,赵冠楠. 确定性信号的Poisson过程与局部平均采样逼近[J]. 天津大学学报(自然科学与工程技术版), 2008, 41(12): 1518-1520 |
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| 作者姓名： | 胡玉梅 叶培新 宋艳霞 赵冠楠 |
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| 作者单位： | 天津大学理学院，南开大学数学科学学院与教育部核心数学与组合数学重点实验室 |
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| 基金项目： | 国家内然科学基金，天津市自然科学基金 |
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| 摘 要： | 用新的Ditzian光滑模和统一的新型K泛函导出了利用Poisson过程及局部平均采样定义的Szasz-Kantorovich算子逼近确定性信号的强逆不等式，进而给出了[0，∞）上的有界连续函数的光滑性与Szasz—Kantorovich算子逼近误差的渐近关系．
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| 关 键 词： | Poisson过程 局部平均采样 Szasz—Kantorovich型算子 统一的K泛函 光滑模 |
Approximation of Deterministic Signals by Poisson Processes and Sampling of Local Averages |
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| HU Yu-mei,YE Pei-xin,SONG Yan-xia,ZHAO Guan-nan. Approximation of Deterministic Signals by Poisson Processes and Sampling of Local Averages[J]. Journal of Tianjin University(Science and Technology), 2008, 41(12): 1518-1520 |
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| Authors: | HU Yu-mei YE Pei-xin SONG Yan-xia ZHAO Guan-nan |
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| Affiliation: | HU Yu-mei, YE Pei-xin, SONG Yan-xia, ZHAO Guan-nan( 1. School of Sciences, Tianjin University, Tianjin 300072, China; 2. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China) |
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| Abstract: | In order to derive the strong converse inequality in connection with Szasz-Kantorovich operators by new Ditzian moduli of smoothness and unified K-function, Szasz-Kantorovich operators are definded by Poisson processes and sampling of local averages. Moreover, the asymptotic relations between smoothness of bounded continuous functions on [0, ∞） and error approximation of Szasz-Kantorovich operators are given. |
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| Keywords: | Poisson processes sampling of local averages Szasz-Kantorovich operators united K-function moduli of smoothness |
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