ON HERMITE-FEJER INTERPOLATION IN A JORDAN DOMAIN

被引：3

作者：

CHUI, CK ^{[1
]}

SHEN, XC ^{[1
]}

机构：

[1] BEIJING UNIV,INST MATH,BEIJING,PEOPLES R CHINA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 323卷 / 01期

关键词：

HERMITE-FEJER INTERPOLATION; RATE OF CONVERGENCE; JORDAN DOMAIN; ASYMPTOTIC FORMULAS;

D O I：

10.2307/2001618

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Hermite-Fejer interpolation problem on a Jordan domain is studied. Under certain mild conditions on the smoothness of the boundary curve, we give both uniform and L(p), 0 < p < infinity, estimates on the rate of convergence. Our estimates are sharp even for the unit disk setting.

引用

页码：93 / 109

页数：17

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