…-Lacunary Statistical Convergence of Order α.

The purpose of this work is to introduce the concepts of …-lacunary statistical convergence of order α and lacunary strongly (…)-convergence of order α. We establish some connections between lacunary strongly (…) - convergence of order α and (…)-lacunary statistical convergence of order α. It is shown that if a sequence is lacunary strongly (…)-summable of order α then it is (…)-lacunary statistically convergent of order α. [ABSTRACT FROM AUTHOR]