Dergi makalesi Açık Erişim

Characterizations of strong and statistical convergences

2010    Khan, Mohammad Kazim; Orhan, Cihan

The two main objectives of the paper are to cast the concept of A-uniform integrability in the measure-theoretic sense leading to showing that a sequence is A-strongly convergent if and only if it is A-statistically convergent and it is A-uniformly integrable. The second aim is to give an almost all subsequence characterization of A-statistical convergence.