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LACUNARY STATISTICAL CONVERGENCE AND INCLUSION PROPERTIES BETWEEN LACUNARY METHODS
摘要
A lacunary sequence is an increasing integer sequence θ = {k_r} such that kr – k_(r-1) → ∞ as r → ∞. A sequence x is called s_θ-convergent to L provided that for each ε ＞ 0, lim_r (1/(kr -k(r-1))){the number of k_(r-1) ＜ k ≤ kr : |x_k -L| ≥ ε} = 0. In this paper, we study the general description of inclusion between two arbitrary lacunary sequences convergent.
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