期刊文献+

Sándor-Yang平均关于单参数调和与反调和平均的确界

Sharp bounds for Sándor-Yang means in terms of single parameter harmonic and contra-harmonic means
下载PDF
导出
摘要 应用实分析的方法,通过对Sándor-Yang平均与单参数调和平均和Sándor-Yang平均与单参数反调和平均序关系的研究,得到了两个最佳双向不等式. Using real analysis,this paper reviews the order relations of Sándor-Yang means and single parameter harmonic(or contra-harmonic)means.Two optimal double inequalities are found.
作者 李少云 钱伟茂 徐会作 LI Shaoyun;QIAN Weimao;XU Huizuo(Teacher’s Teaching Development Center,Wenzhou Broadcast and TV University,Wenzhou,Zhejiang 325013,China;School of Continuing Education,Huzhou Broadcast and TV University,Huzhou,Zhejiang 313000,China)
出处 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2020年第4期26-34,共9页 Journal of East China Normal University(Natural Science)
基金 国家自然科学基金(61374086,11401191) 浙江远程教育学会重点课题(DES-18Z04) 浙江广播电视大学“312人才培养工程”培养项目 浙江广播电视大学2019年度科学研究课题(XKT-19Z02)。
关键词 Sándor-Yang平均 调和平均 反调和平均 Sándor-Yang mean harmonic mean contra-harmonic mean
  • 相关文献

参考文献4

二级参考文献12

  • 1J. Sándor.On the identric and logarithmic means[J]. Aequationes Mathematicae . 1990 (1)
  • 2Abramowitz M and Stegun I A,editors.Handbook of Mathematical Functions with Formulas,Graphsand Mathematical Tables. . 1965
  • 3Vuorinen M.Geometric properties of quasiconformal maps and special functions. . 1996
  • 4Vamsnsmurthy M K and Vuorinen M.Inequalities for means. Journal of Mathematical Analysis and Applications . 1994
  • 5Anderson G D,Vamanamurthy M K and Vuorinen M.Inequalilies for quasiconformal mappings inspace. Pacific Journal of Mathematics . 1993
  • 6Anderson G D,Vamanamurthy M K and Vuorinen M.Functional inequalities for hypergeometric functions and complete elliptic integrals. SIAM Journal on Mathematical Analysis . 1992
  • 7Qiu S—L and Vamanamurthy M K.Sharp estimates for complete elliptic integrals. SIAM Journal on Mathematical Analysis . 1996
  • 8Sandor J.On certain inequalities for means Ⅱ. Journal of Mathematical Analysis and Applications . 1996
  • 9Borwein J M and Borwein P B.Inequalities for compound mean iterations with logarithmic asymplotes. Journal of Mathematical Analysis and Applications . 1993
  • 10Almkvist G and Berndt B.Gauss,Landen,Ramanujan,the arithmetic—geometric mean,ellipses,π andthe Ladies Diary. The American Mathematical Monthly . 1988

共引文献12

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