数学杂志Issue(1):95-102,8.
B值拟鞅Rosenthal型不等式
ROSENTHAL TYPE INEQUALITY OF B-VALUED QUASI-MARTINGALE
摘要
Abstract
In this paper we discuss the Rosenthal type inequality of quasi-martingale. By using goodλinequality, we prove that Rosenthal type inequality of quasi-martingale and geometric properties of Banach space are equivalent. As a consequence, we prove the law of large numbers. These conclusions generalize some known results.关键词
Rosenthal型不等式/拟鞅/几何性质Key words
Rosenthal type inequality/quasi-martingale/geometric properties分类
数理科学引用本文复制引用
张传洲,潘誉,张学英..B值拟鞅Rosenthal型不等式[J].数学杂志,2015,(1):95-102,8.基金项目
Supported by National Natural Science Foundation of China (11201354) (11201354)
Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology)(Y201321) and National Natural Science Foundation of Pre-Research Item (2011XG005) (Wuhan University of Science and Technology)