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
相关论文
共 50 条
  • [1] A general refinement of Jordan-type inequality
    Zhu, Ling
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (11) : 2498 - 2505
  • [2] GENERALIZATIONS OF JORDAN'S INEQUALITY AND CONCERNED RELATIONS
    Niu, Da-Wei
    Cao, Jian
    Qi, Feng
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2010, 72 (03): : 85 - 98
  • [3] Generalizations of Aczel's inequality and Popoviciu's inequality
    Wu, SH
    Debnath, L
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2005, 36 (02): : 49 - 62
  • [4] On Jordan’s inequality
    Horst Alzer
    Man Kam Kwong
    Periodica Mathematica Hungarica, 2018, 77 : 191 - 200
  • [5] On Jordan's inequality
    Alzer, Horst
    Kwong, Man Kam
    PERIODICA MATHEMATICA HUNGARICA, 2018, 77 (02) : 191 - 200
  • [6] ON GENERALIZATIONS AND REINFORCEMENTS OF A HILBERT'S TYPE INEQUALITY
    Xi, Gaowen
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2012, 42 (01) : 329 - 337
  • [7] Refinements, Generalizations, and Applications of Jordan's Inequality and Related Problems
    Feng Qi
    Da-Wei Niu
    Bai-Ni Guo
    Journal of Inequalities and Applications, 2009
  • [8] Refinements, Generalizations, and Applications of Jordan's Inequality and Related Problems
    Qi, Feng
    Niu, Da-Wei
    Guo, Bai-Ni
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
  • [9] On the Generalizations of Hilbert’s Inequality
    WANG WenjieHE Leping Department of MathematicsHunan University of Arts and ScienceChangde ChinaCollege of Mathematics and Computer ScienceJishou UniversityJishou China
    湘潭师范学院学报(自然科学版), 2006, (03) : 1 - 4
  • [10] Generalizations of Furuta's inequality
    Dragomir, S. S.
    LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (05): : 617 - 626
12345