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基于g-期望的一些不等式

Some inequalities of g-expectation
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摘要 给出了由倒向随机微分方程定义的g-期望的一些不等式. Some inequalities of g-expectation which is defined by backward stochastic differential equation were obtained.
出处 《山东理工大学学报(自然科学版)》 CAS 2007年第6期46-48,共3页 Journal of Shandong University of Technology:Natural Science Edition
关键词 倒向随机微分方程 G-期望 HLDER不等式 MINKOWSKI不等式 backward stochastic differential equation g-expectation Hǒlder inequality Minkowski inequality
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参考文献4

  • 1Pardoux E, Peng S. Adapted solution of a backward stochastic differential equations [J]. System and control letters, 1990,14(1) :55-61.
  • 2Peng S. BSDE and related g-expectation[J]. Pitman research notes in mathematics series , 1997 ,364 : 141-159.
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  • 4释恒璐.基于g-期望的Hlder不等式[J].山东大学学报(理学版),2006,41(4):28-31. 被引量:3

二级参考文献6

  • 1E Pardoux,S Peng.Adapted solution of a backward stochastic differential equationt[J].Systems & Control Letters,1990,14:55~61
  • 2S Peng.Backward stochastic differential equations and related g-expectation[J].Pitman Research Notes in Math,1997,364:141~159.
  • 3P Briand,F Ioquet,Y Hu,et al.A converse comparison theorem for BSDEs and related properties of g-expectation[J].Electon Comm Probab,2000,5:101~117.
  • 4Z Chen,R Kulperger,L Jiang.Jensen's inequality for g-expectation[J].C R Acad Sci Ser I,2003,337:725~730.
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  • 6江龙.基于g-期望的关于二元函数的Jensen不等式[J].山东大学学报(理学版),2003,38(5):13-17. 被引量:9

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