A general refinement of Jordan-type inequality

被引：20
|
作者：
Zhu, Ling [1 ]
机构：
[1] Zhejiang Gongshang Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 55卷 / 11期
关键词：
lower and upper bounds; a general form of Jordan's inequality; Yang Le inequality; the Spherical Bessel Functions (SBFs); the SBFs of the first kind j(n)(x) = root pi/2xJ(n+1/2) (x); a new infinite series for (sin x)/x;
D O I：
10.1016/j.camwa.2007.10.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, a general form of Jordan's inequality: [GRAPHICS] and N >= 0 is a natural number. The applications of the above result give the general improvement of the Yang Le inequality and a new infinite series (sin x)/x = Sigma(infinity)(n=0)a(n)(pi(2)-4x(2))(n) for 0 < vertical bar x vertical bar <= pi/2. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2498 / 2505
页数：8
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