Lp-混合阵列的Lr收敛性

数学物理学报 ›› 2020, Vol. 40 ›› Issue (3): 611-618.

L_p-混合阵列的L^r收敛性

邱德华^1,*(),杨炬¹,易艳春²

¹ 广东财经大学统计与数学学院广州 510320
² 衡阳师范学院数学与统计学院湖南衡阳 421008

收稿日期:2019-04-01 出版日期:2020-06-26 发布日期:2020-07-15
通讯作者: 邱德华 E-mail:qiudhua@sina.com
基金资助:
湖南省自然科学基金(2018JJ4024);湖南省教育厅重点项目(18A340)

Convergence in L^r for L_p-Mixingale Arrays

Dehua Qiu^1,*(),Ju Yang¹,Yanchun Yi²

¹ School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320
² School of Mathematics and Statistics, Hengyang Normal University, Hunan Hengyang 421008

Received:2019-04-01 Online:2020-06-26 Published:2020-07-15
Contact: Dehua Qiu E-mail:qiudhua@sina.com
Supported by:
the NSF of Hunan Province(2018JJ4024);the Key Projects of Hunan Provincial Education Department(18A340)

摘要/Abstract

摘要：

利用L_p-混合的性质，研究了L_p-混合阵列的L^r收敛性，所得的结果推广和改进了已知的一些文献中相应的结论.

关键词: L_p-混合, L^r收敛, 鞅差序列

Abstract:

In this paper, the convergence in L^r for L_p-mixingale arrays are discussed by using the properties of L_p-mixingale. These results extend and improve the related known works in the literature.

Key words: L_p-Mixingales, Convergence in L^r, Martingale difference sequence

中图分类号:

O211.4

邱德华,杨炬,易艳春. L_p-混合阵列的L^r收敛性[J]. 数学物理学报, 2020, 40(3): 611-618.

Dehua Qiu,Ju Yang,Yanchun Yi. Convergence in L^r for L_p-Mixingale Arrays[J]. Acta mathematica scientia,Series A, 2020, 40(3): 611-618.

参考文献 19

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