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.

引用

页码：378 / 398

页数：21

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