IMPROVED INEQUALITIES FOR TRIGONOMETRIC FUNCTIONS VIA DIRICHLET AND ZETA FUNCTIONS

被引：4
|
作者：
Aharonov, D. [1 ]
Elias, U. [1 ]
机构：
[1] Techn IIT, Dept Math, IL-32000 Haifa, Israel
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2013年 / 16卷 / 03期
关键词：
Trigonometric inequalities; Becker-Stark inequality; Redheffer inequality; Dirichlet functions;
D O I：
10.7153/mia-16-65
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The article discusses several improvements of well known inequalities for trigonometric functions. We utilize the monotonicity of the Riemann zeta function, as well as the Dirichlet eta, beta and lambda functions, to shorten the proofs of known inequalities for trigonometric functions, and to obtain new ones.
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页码：851 / 859
页数：9
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