INTEGRAL TRANSFINITE DIAMETER OF A REAL INTERVAL

被引：20
作者：
AMOROSO, F
机构：
[1] UNIV PARIS 06,INST HENRI POINCARE,CNRS PROBLEMES DIOPHANTIENS,URA 763,F-75231 PARIS 05,FRANCE
[2] SCUOLA NORMALE SUPER PISA,I-56100 PISA,ITALY
来源：
ANNALES DE L INSTITUT FOURIER | 1990年 / 40卷 / 04期
关键词：
D O I：
10.5802/aif.1240
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some new upper and lower bound for the least deviation from zero of integral polynomials over intervals I with rational extremities are given. These bounds, obtained combining the theory of orthogonal polynomials with elementary arguments from the geometry of numbers, explicitly depend on the diameter of I and on the denominators of its extremities.
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页码：885 / 911
页数：27
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