Densely algebraic bounds for the exponential function

被引：0
|
作者：
Kim, Seon-Hong [1 ]
机构：
[1] Chosun Univ, Coll Nat Sci, Dept Math, Kwangju 501759, South Korea
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 01期
关键词：
algebraic bounds; exponential function; polynomials;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An upper bound for ex that implies the inequality between the arithmetic and geometric means is generalized with the introduction of a new parameter n. The new upper bound is smoothly and densely algebraic in n, and valid for -b < x < 1 for arbitrarily large positive b provided that n (> 1) is sufficiently close to 1. The range of its validity for negative x is investigated through the study of a certain family of quadrinomials.
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页码：237 / 241
页数：5
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