| Birkhoff插值多项式关于导数的逼近阶 |
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| 引用本文： | 江世璟,朱长青.Birkhoff插值多项式关于导数的逼近阶[J].中原工学院学报,1992(1). |
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| 作者姓名： | 江世璟 朱长青 |
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| 作者单位： | 郑州纺织工学院
(江世璟)，郑州测绘学院(朱长青) |
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| 摘 要： | 本文讨论了基于单位根的(o,m_1,m_2,……m_q)Birkhoff插值多项式关于导数的连续模的逼近性质,得到了其平均收敛和一致收敛于f(z)∈A~((m_q)),(D)的逼近阶。
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| 关 键 词： | Birkhoff插值多项式 连续模 逼近阶 |
The Order of Approximarion on Derivative for Birkhoff interpolating Polynomials |
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| Jiang Shijing Zhu Chongqing.The Order of Approximarion on Derivative for Birkhoff interpolating Polynomials[J].Journal of Zhongyuan Institute of Technology,1992(1). |
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| Authors: | Jiang Shijing Zhu Chongqing |
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| Affiliation: | Jiang Shijing Zhu Chongqing |
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| Abstract: | In this paper,we study the approximation properties on derivstive for(0,m1,m2,-m,)Birkhoff interpolating polynomials in roots of unity,and obtain the order of approximation that the polynomials coaverge to f (z)A(mq)(D)in the sense of mean convergence and uniformity. |
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| Keywords: | Birkhoff interpolating polynomials modulus of continuity order of approximation |
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