Refinements of Jordan-Steckin and Becker-Stark Inequalities

被引:41
作者
Debnath, Lokenath [1 ]
Mortici, Cristinel [2 ,3 ]
Zhu, Ling [4 ]
机构
[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA
[2] Valahia Univ Targoviste, Targoviste 130082, Romania
[3] Acad Romanian Scientists, Bucharest 050094, Romania
[4] Zhejiang Gongshang Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
关键词
Jordan-Steckin inequalities; Becker-Stark inequalities; SHARP VERSION; IMPROVEMENT; CUSA;
D O I
10.1007/s00025-014-0405-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to refine Jordan-Steckin and Becker-Stark inequalities.
引用
收藏
页码:207 / 215
页数:9
相关论文
共 20 条
[1]  
[Anonymous], 1996, J. Math. Technol
[2]  
Becker M., 1978, U BEOGRAD PUBL EL MF, V602-633, P133
[3]   Sharp Cusa and Becker-Stark inequalities [J].
Chen, Chao-Ping ;
Cheung, Wing-Sum .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
[4]   New strengthened Jordan's inequality and its applications [J].
Debnath, L ;
Zhao, CJ .
APPLIED MATHEMATICS LETTERS, 2003, 16 (04) :557-560
[5]  
Euler R., 2004, MO J MATH, V16, P1
[6]   New Sharp Bounds for the Bernoulli Numbers and Refinement of Becker-Stark Inequalities [J].
Ge, Hua-feng .
JOURNAL OF APPLIED MATHEMATICS, 2012,
[7]  
Mitrinovic D., 1970, ANAL INEQUALITIES
[8]   A subtly analysis of Wilker inequality [J].
Mortici, Cristinel .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 231 :516-520
[9]  
Pecaric J, 2009, E J APPROX, V15, P515
[10]   Some inequalities constructed by Tchebysheff's integral inequality [J].
Qi, F ;
Cui, LH ;
Xu, SL .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 1999, 2 (04) :517-528