On I-lacunary statistical convergence of order α for sequences of sets

In this paper, following a very recent and new approach of [1] and [2] we further generalize\udrecently introduced summability methods in [11] and introduce new notions, namely, I-statistical convergence\udof order and I-lacunary statistical convergence of order , where 0 <1 for sequences of sets.\udWe mainly study their relationship and also make some observations about these classes and in the way try\udto give a proof of theorem which is not proved in [31]. The study leaves a lot of interesting open problems