Lacunary statistical convergence and inclusion properties between lacunary methods

A lacunary sequence is an increasing integer sequence θ = { k r } such that k r − k r −1 → ∞ as r → ∞ . A sequence x is called s θ ‐convergent to L provided that for each ϵ > 0, lim r (1/( k r − k r −1 )){the number of k r −1 < k ≤ k r : | x k − L | ≥ ϵ } = 0. In this paper, we study the general des... View More