Lacunary Weak I-Statistical Convergence

In this study, we provide a new approach to I-statistical convergence. We introduce a new concept with I-statistical convergence and weak convergence together and we call it weak I- statistical convergence or WS(I)-convergence. Then we introduce this concept for lacunary sequences and we obtain lacunary weak I- statistical convergence i.e. WS_θ(I)- convergence. WN_θ(I)- convergence is any other definition in our study. After giving this description, we investigate their relationship and we have some results.