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ON SOME EXTREMAL PROPERTIES OF ALGEBRAIC POLYNOMIALS
作者姓名:谢四清
作者单位:Wuhan Iust.of Math.Sci.Academia Sinica.Wuhan 430071,China.
摘    要:ONSOMEEXTREMALPROPERTIESOFALGEBRAICPOLYNOMIALSXieSiqing(谢四清)(WuhanIust.ofMath.Sci.AcademiaSinica.Wuhan430071,China.)ONSOMEEXT...


ON SOME EXTREMAL PROPERTIES OF ALGEBRAIC POLYNOMIALS
Xie Siqing.ON SOME EXTREMAL PROPERTIES OF ALGEBRAIC POLYNOMIALS[J].Acta Mathematica Scientia,1995(4).
Authors:Xie Siqing
Abstract:Let P.be an algebraic polynomial of degree n with real coefficients. We study the extremal properties of the integral (P'(x)2 dx and(1-x2)(P'(x)2dx subject to the constraint max|p.(x)| 1.
Keywords:Algebraic polynomial  Interpolation  
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