| 关于代数多项式的一个积分表示式 |
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| 引用本文： | 巫朝霞,刘卫霞.关于代数多项式的一个积分表示式[J].纯粹数学与应用数学,2009,25(2):325-331. |
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| 作者姓名： | 巫朝霞 刘卫霞 |
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| 作者单位： | 1. 新疆财经大学应用数学学院,新疆,乌鲁木齐,830011
2. 中国人民大学经济学院,北京,100872 |
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| 摘 要： | 研究了代数多项式导数的Bernstein不等式和Markov不等式．通过代数多项式导数的一个积分表示式，给出这两个著名不等式以及它们的离散形式的证明．
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| 关 键 词： | 代数多项式 Cauchy积分公式 Bernstein不等式 Markov不等式 |
A integral representation of algebraic polynomials |
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| WU Zhao-xia,LIU Wei-xia.A integral representation of algebraic polynomials[J].Pure and Applied Mathematics,2009,25(2):325-331. |
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| Authors: | WU Zhao-xia LIU Wei-xia |
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| Institution: | WU Zhao-xia1,LIU Wei-xia2 (1.School of Applied Mathematics,Xinjiang University of Finance , Economics,Urmq,830011 China,2.School of Economics,Renmin University of China,Beijing,100872 China) |
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| Abstract: | In this paper, we discuss the Bernstein's inequality and Markov's inequality for algebraic polynomials and its derivative. By using the integral representation for polynomial and its derivative, we give another proof of the discrete Bernstein's inequality and a similar outcome of Markov's inequality. |
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| Keywords: | algebraic polynomials Cauchy integral formula Bernstein's inequality Markov's inequality |
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