Estimation of norms of multivariate polynomials with integral coefficients

被引：0
|
作者：
Luquin, F
Besga, C
机构：
[1] Univ Basque Country, Fac Ciencias, Dept Matemat, Bilbao, Spain
[2] Univ Basque Country, EUITI, Dept Matemat Aplicada, Vitoria 01006, Spain
[3] Univ Basque Country, ITT, Vitoria 01006, Spain
来源：
JOURNAL OF APPROXIMATION THEORY | 1999年 / 96卷 / 02期
关键词：
D O I：
10.1006/jath.1998.3248
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using Fekete's method we obtain estimates for the L-p-norms of minimal integral generalized multivariate polynomials. We particularize these estimates for the cases of ordinary polynomials and quasi-polynomials. We also show the existence of a limit in the minimal quadratic deviations from zero for univariate integral polynomials. (C) 1999 Academic Press.
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页码：378 / 398
页数：21
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