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Poincaré型不等式的一些注记 被引量:1

Some Remarks on High Order Poincaré Inequalities
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摘要 利用H lder不等式和Cr 不等式,得出了在不同条件下d 维欧氏空间中有界区域上n阶Poincar啨不等式的几个显示表示. By using of the Hlder inequality and Cr-inequality, under different conditions we derive a few manifestations of Poincare's inequlity of n order in bounded domains of R^d.
作者 陈文英
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第1期107-110,共4页 Journal of Sichuan Normal University(Natural Science)
关键词 有界开区域 POINCARÉ不等式 n次连续可微 Bounded open domain Poincaré inequality n order continuity differentiable
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参考文献4

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同被引文献4

  • 1Ledoux M. Concentration of measure and logarithmic Sobolcv inequalities [ C ]//Lecture Notes in Mathematics, 1999,1709:120-216.
  • 2Hardy G H, Littlewood J E, Polya G. Inequalities[ M]. 2rd. England:Cambridge University Press,1952.
  • 3Chen W Y. Poincare inequalities on a countable set E and Ω = {x:0≤xi≤<a,i = 1,2,…,n} [ J]. J Southwest Jiaotong University:English ,2005,13 ( 1 ) :92-94.
  • 4陈文英.概率空间(Ω,F,μ)上若干显式的高阶Poincaré型不等式[J].四川大学学报(自然科学版),2004,41(1):216-217. 被引量:1

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