Strong asymptotics for Sobolev orthogonal polynomials

被引：3
|
作者：
Finkelshtein, AM
Cabrera, HP
机构：
[1] Univ Almeria, Dept Estadist & Matemat Aplicada, Almeria 04120, Spain
[2] Univ Granada, Inst Carlo I Fis Teor & Computac, E-18071 Granada, Spain
[3] Univ Matanzas, Dept Matemat, Matanzas, Cuba
来源：
JOURNAL D ANALYSE MATHEMATIQUE | 1999年 / 78卷 / 1期
关键词：
D O I：
10.1007/BF02791131
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we obtain the strong asymptotics for the sequence of orthogonal polynomials with respect to the inner product [f, g] s = Sigma(k = 0)(m) integral(Delta k) f((k))(x)g((k))(x)d mu(k)(x), where {mu(k)}(k=0)(m), m is an element of Z(+), are measures supported on [-1, 1] which satisfy Szego's condition.
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页码：143 / 156
页数：14
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