B-统计收敛与收敛的关系

Relationship between B-Statistical Convergence and Convergence

利用B-统计收敛说明统计收敛、A-统计收敛、缺项统计收敛、λ-统计收敛及强统计收敛分别是B-统计收敛的特殊形式,并分别给予测度刻画.考察B-统计收敛与一般序列收敛之间的关系,得到统计收敛、λ-统计收敛及强统计收敛与收敛之间的等价描述.

Applying B-convergence, we first show that statistical convergence, A-statistical convergence, lacunary statistical convergence, λ-statistical convergence and strongly statistical convergence are just the specific types of b-convergence, and present the representation of these several classical statistical convergence by using measure theory, by establishing the relationship between b-statistical convergence and convergence, we give the equivalent description between statistical convergence,λ-statistical convergence, strongly statistical convergence and convergence.