Generalizations of a parameterized Jordan-type inequality, Janous's inequality and Tsintsifas's inequality

被引：5
|
作者：
Wu, Shanhe [2 ]
Debnath, Lokenath [1 ]
机构：
[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78539 USA
[2] Longyan Coll, Dept Math, Longyan 364012, Fujian, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 01期
关键词：
Jordan's inequality; Janous's inequality; Tsintsifas's inequality; Parameterized Jordan-type inequality; Sharpening; Generalization; SHARP VERSION; IMPROVEMENT;
D O I：
10.1016/j.aml.2008.01.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we first prove a generalized version of a parameterized Jordan-type inequality. We then use it to prove the generalized versions of Janous's inequality and Tsintsifas's inequality which reduce to two inequalities conjectured by Janous and Tsintsifas as special cases. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：130 / 135
页数：6
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