On integer Chebyshev polynomials

被引：15

作者：

Habsieger, L ^{[1
]}

Salvy, B ^{[1
]}

机构：

[1] INST NATL RECH INFORMAT & AUTOMAT,F-78153 LE CHESNAY,FRANCE

来源：

MATHEMATICS OF COMPUTATION | 1997年 / 66卷 / 218期

关键词：

D O I：

10.1090/S0025-5718-97-00829-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

(W)e are concerned with the problem of minimizing the supremum norm on [0, 1] of a nonzero polynomial of degree at most n with integer coefficients. We use the structure of such polynomials to derive an efficient algorithm for computing them. We give a table of these polynomials for degree up to 75 and use a value from this table to answer an open problem due to P. Borwein and T. Erdelyi and improve a lower bound due to Flammang et al.

引用

页码：763 / 770

页数：8

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