%0 Journal Article
%T 统计收敛与Lacunary统计收敛<br>On statistical convergence and Lacunary statistical convergence
%A 鲍玲鑫
%A 官明友
%J 福州大学学报(自然科学版)
%D 2015
%R 10.7631/issn.1000-2243.2015.06.0742
%X 针对Lacunary统计收敛与经典统计收敛的相容性问题，利用统计测度理论证明了Lacunary统计收敛与经典统计收敛等价的充分必要条件是相应的Lacunary序列是几何递增的.<br>The purpose of this paper is to investigate problems concerning the equivalence between the Lacunary statistical convergence and the classical statistical convergence. By applying the statistical measure theory，we show that a sufficient and necessary condition for a Lacunary statistical convergence to be equivalent to the classical statistical convergence is that the corresponding Lacunary sequence is geometrically increasing
%K 统计收敛 Lacunary统计收敛 统计测度 半范数&lt
%K br&gt
%K statistical convergence Lacunary statistical convergence statistical measure seminorm
%U http://xbzrb.fzu.edu.cn/ch/reader/view_abstract.aspx?file_no=20150604&flag=1