统计收敛与Lacunary统计收敛  

On statistical convergence and Lacunary statistical convergence

作　　者：鲍玲鑫[1] 官明友[1] 

机构地区：[1]福建农林大学计算机与信息学院,福建福州350002

出　　处：《福州大学学报（自然科学版）》2015年第6期742-745,共4页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11501108;11426061);福建省自然科学基金资助项目(2015J01579)

摘　　要：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.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.

关 键 词：统计收敛 Lacunary统计收敛 统计测度 半范数 

分 类 号：O177[理学—数学]