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B值拟鞅Rosenthal型不等式

张传洲 潘誉 张学英

数学杂志Issue(1):95-102,8.
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

张传洲 1潘誉 1张学英1

作者信息

  • 1. 武汉科技大学理学院,湖北武汉 430065
  • 折叠

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)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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