ESTIMATES OF ASYMMETRIC FREUD POLYNOMIALS ON THE REAL LINE

被引：44

作者：

BAULDRY, WC

机构：

[1] Department of Mathematical Sciences, Appalachian State University, Boone

来源：

JOURNAL OF APPROXIMATION THEORY | 1990年 / 63卷 / 02期

关键词：

D O I：

10.1016/0021-9045(90)90105-Y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find bounds for the polynomials pn(x) orthogonal with respect to asymmetric Freud weights of the form w(x) = exp(-Q(x)), where Q is an even degree polynomial with positive leading coefficient, by utilizing asymptotics for the recursion coefficients an and bn and an approximate differential equation satisfied by pn(x). © 1990.

引用

页码：225 / 237

页数：13

共 20 条

[1] ASYMPTOTICS FOR SOLUTIONS OF SYSTEMS OF SMOOTH RECURRENCE EQUATIONS [J].