Lacunary Statistically $\phi$- Convergence

Abstract

In this paper by using the lacunary sequence and Orlicz function $\phi$, we introduce a new concept of lacunary statistically $\phi$-convergence, as a generalization of the statistically $\phi-$convergence and $\phi-$convergence. Based on this concepts, introduce a new sequence space $% S_{\theta}-\phi$ and investigate some of its basic properties. Also studied some inclusion relations.