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关于第二类Chebyshev权函数的Landau’s型不等式

The Landau's Type Inequality on the Second Chebyshev Weight Function
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摘要 首先建立了第二类Chebyshev多项式Un(x)的Landau’s型不等式.利用Un(x)的正交性,建立了代数多项式pn(x)的加权Landau’s型不等式,并且指出其不等式的系数在某种意义上是最好可能的. We initiated establish a Landau's Type inequality of the second Chebyshev polynomials Un(x). Making use of the orthogonalizaty of Un(x), establish a weighted Landau's type inequality of the algebraic polynomials pn(x), and the coefficients in our inequality is the most possible in some sense.
作者 沈云海
出处 《大学数学》 北大核心 2006年第5期77-80,共4页 College Mathematics
基金 浙江省教育厅科研基金资助项目(编号20054080)
关键词 Landau's型不等式 第二类Chebyshev函数 正交性 权函数 Landau's type inequality second Chebyshev function orthogonality weight function
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