An extension of the Grunwald-Marcinkiewicz interpolation theorem

被引：2
作者：
Mills, TM
Vértesi, P
机构：
[1] La Trobe Univ, Dept Math, Bendigo, Vic 3552, Australia
[2] Hungarian Acad Sci, Inst Math, H-1364 Budapest, Hungary
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2001年 / 63卷 / 02期
关键词：
D O I：
10.1017/S0004972700019353
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Just over 60 years ago, G. Grunwald and J. Marcinkiewicz discovered a divergence phenomenon pertaining to Lagrange interpolation polynomials based on the Chebyshev nodes of the first kind. The main result of the present paper is an extension of their now classical theorem. In particular, we shall show that this divergence phenomenon occurs for odd higher order Hermite-Fejer interpolation polynomials of which Lagrange interpolation polynomials form one special case.
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页码：299 / 320
页数：22
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