弱鞅的一类极小值不等式

doi:10.6040/j.issn.1671-9352.0.2016.532

山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (8): 65-69.doi: 10.6040/j.issn.1671-9352.0.2016.532

弱鞅的一类极小值不等式

冯德成,张潇^*,周霖

西北师范大学数学与统计学院, 甘肃兰州 730070

收稿日期:2016-11-18 出版日期:2017-08-20 发布日期:2017-08-03
通讯作者: 张潇(1993— ), 女, 硕士, 研究方向为随机分析和应用概率. E-mail:1195397040@qq.com E-mail:fengdc@163.com
作者简介:冯德成(1972— ), 男, 博士, 副教授, 研究方向为随机分析与应用概率. E-mail:fengdc@163.com
基金资助:
国家自然科学基金资助项目(11461061);西北师范大学青年教师科研能力提升计划项目(NWNU-LKQN-11-2)

A class of minimal inequalities for demimartingales

FENG De-cheng, ZHANG Xiao^*, ZHOU Lin

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China

Received:2016-11-18 Online:2017-08-20 Published:2017-08-03

摘要/Abstract

摘要： 在弱鞅序列{S_n, n≥1}的背景下, 给出了序列{c_nS_n, n≥1}和{c_ng(S_n), n≥1}的一类极小值不等式。所得结论推广了已有文献中的相关结果。

关键词: 弱鞅, 极小值不等式, 弱下鞅

Abstract: In the background of the demimartingale sequence {S_n, n≥1}, a class of minimal inequalities for the sequence {c_nS_n, n≥1} and {c_ng(S_n), n≥1} are given in this paper. These results generalize the corresponding results in recent papers.

Key words: demisubmartingale, demimartingale, minimal inequality

中图分类号:

O211

冯德成,张潇,周霖. 弱鞅的一类极小值不等式[J]. 山东大学学报（理学版）, 2017, 52(8): 65-69.

FENG De-cheng, ZHANG Xiao, ZHOU Lin. A class of minimal inequalities for demimartingales[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(8): 65-69.

参考文献

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弱鞅的一类极小值不等式

A class of minimal inequalities for demimartingales

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