统计收敛与Lacunary统计收敛
On statistical convergence and Lacunary statistical convergence

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