期刊文献+

一个双参数二元不等式的推广 被引量:1

Extension of an Inequality of Two Variables With Two Parameters
下载PDF
导出
摘要 二元不等式aars--bbrs≥rsa+2bs-r成立或反向成立的充分条件是被学者广泛关注的问题。通过变换a=bx将该不等式转化为一元不等式,并结合简单的分析手段较大地扩展了参数r,s的取值范围。 Abstract: The fact that the sufficient condition of the inequality of two variables a^s-b^s/a^r-b^r≥s/r(a+b/2)^s-r and its reverse are valid has aroused the interest of a number of scholars. By the transformation a = bx, the above inequality is reduced to an inequality of a variable, and the range of the parameters r, s is extended largely with simple method of the analysis.
出处 《北京联合大学学报》 CAS 2006年第2期68-72,共5页 Journal of Beijing Union University
基金 北京市教育委员会科技发展计划面上项目(KM200611417009)
关键词 双参数 二元 不等式 two parameters two variables inequality
  • 相关文献

参考文献7

  • 1YANG Shi-jun.A direct proof and extensions of an inequality[J].Journal of Mathematical Research & Explsition,2004,24(4):649-651. 被引量:1
  • 2LIU Zheng.Remarks on two papers by Y H Kim[J].Journal of Mathematical Research & Explsition,2004,24(1):18-20. 被引量:1
  • 3Chen Daoqiof Math., Zhejiang Univ., Hangzhou, 310027..EXTENSIONS OF SOME INEQUALITIES[J].Applied Mathematics(A Journal of Chinese Universities),2001,16(3):241-243. 被引量:2
  • 4KIM Y H.A simple proof and extension of an inequality[J].Math Anal Appl,2000 (245):294-296. 被引量:1
  • 5QI Feng,XU Sen-lin.The function (b^x-a^x)/x:inequalities and properties[J].Proc Amer Math Soc,1998,126(11):3355-3359. 被引量:1
  • 6QI Feng,XU Sen-lin.Refinements and extensions of an inequality Ⅱ[J].Mathematical Analysis and Applications,1997 (211):616-620. 被引量:1
  • 7华东师大数学系.数学分析:上册[M].第2版.北京:高等教育出版社.1991. 被引量:1

二级参考文献2

  • 1Qi Feng and Xu Senlin, Refinements and extensions of aninequality Ⅱ, J. Math. Anal. Appl.,1997,211:616-620. 被引量:1
  • 2Zheng Lin, Remark on refinements and extensions of an inequality, J. Math. AnalAppl., 1999,234:529-533 被引量:1

共引文献1

同被引文献25

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部