| Baskakov算子加权逼近的收敛阶 |
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| 引用本文： | 宣培才,周定轩.Baskakov算子加权逼近的收敛阶[J].应用数学学报,1995,18(1):129-139. |
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| 作者姓名： | 宣培才 周定轩 |
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| 作者单位： | 浙江绍兴师专 |
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| 基金项目： | 国家自然科学基金，浙江省自然科学基金 |
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| 摘 要： | 本文讨论了Ｂａｓｋａｋｏｖ算子加Ｊａｃｏｂｉ权逼近的收敛性，首先指出了按通常的加权范数，Ｂａｓｋａｋｏｖ算子是无界的。然后引入一种新的范数，在此范数下Ｂａｓｋａｋｏｖ算子具有压缩性，最后借助于Ｋ－泛函，我们着重讨论了它的特征刻划问题。
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| 关 键 词： | Baskakov算子 加权逼近 收敛阶 逼近 |
RATE OF CONVERGENCE FOR BASKAKOV OPERATORS WITH JACOBI-WEIGHTS |
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| XUAN PEICAI.RATE OF CONVERGENCE FOR BASKAKOV OPERATORS WITH JACOBI-WEIGHTS[J].Acta Mathematicae Applicatae Sinica,1995,18(1):129-139. |
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| Authors: | XUAN PEICAI |
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| Abstract: | in this paper, first we show that the Baskakov operator is unbounded with usual weighted norm; then we give a new norm, and with this new norm, Baskakov operators have the property of contraction; and lastly, we discuss mainly the direct and inverse results for Baskakov operators with Jacobi-weights. |
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| Keywords: | Baskakov operators weighted approximation convergence rate K-functional charaterizations |
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