| Pointwise Simultaneous Approximation by Combinations of Baskakov Operators |
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| 作者姓名： | Lin Sen XIE Zhong Rui SHI |
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| 作者单位： | [1]Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China [2]Department of Mathematics, Lishui University, Lishui 323000, P. R. China |
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| 基金项目： | This research is supPorted by the National Natured Science Foundation of China and the Zhejiang Provincial Natural Science Foundation of China |
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| 摘 要： |
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| 关 键 词： | Baskakov算子 组合 同时点态逼近 光滑度 模数 |
| 收稿时间： | 11 October 2004 |
| 修稿时间： | 2004-10-112004-10-20 |
Pointwise Simultaneous Approximation by Combinations of Baskakov Operators |
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| Lin Sen XIE Zhong Rui SHI.Pointwise Simultaneous Approximation by Combinations of Baskakov Operators[J].Acta Mathematica Sinica,2007,23(5):935-944. |
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| Authors: | Lin Sen Xie Zhong Rui Shi |
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| Institution: | (1) Department of Mathematics, Shanghai University, Shanghai 200444, P. R.China;(2) Department of Mathematics, Lishui University, Lishui 323000, P. R. China;(3) Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | In this paper, we investigate the relation between the rate of convergence for the derivatives of the combinations of Baskakov operators and the smoothness for the derivatives of the functions approximated. We give some direct and inverse results on pointwise simultaneous approximation by the combinations of Baskakov operators. We also give a new equivalent result on pointwise approximation by these operators. |
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| Keywords: | Baskakov operator combination simultaneous approximation modulus of smoothness |
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