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.

引用

页码：143 / 156

页数：14

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