二维可积函数的Walsh级数部分和子序列的(C,1)均值序列的收敛问题(英文)  

Convergence of (C,1) Means of Subsequence of Double Partial Sums of Walsh Series of Integrable Function

作　　者：张传洲[1] 潘誉 张学英[1] 

机构地区：[1]武汉科技大学理学院,湖北武汉430065

出　　处：《应用数学》2015年第1期92-98,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11201354);the Hubei Province Key Laboratory of Systems Science in Metallurgical Process(Wuhan University of Science and Technology)(Y201321);the National Natural Science Foundation of Pre-Research Item(2011XG005)

摘　　要：本文利用鞅的方法,证明对有孔序列a生成的二维可积函数f的Walsh级数部分和子序列的(C,1)均值序列是几乎收敛于f.In this paper,we prove a the Fejfr means of subsequence of the partial sums of double Walsh series of integrable function converges to f a. e. by the martingale method.

关 键 词：Fejer均值 部分和子序列 几乎处处收敛 

分 类 号：O174.2[理学—数学]