Lacunary statistical convergence and inclusion properties between lacunary methods

A lacunary sequence is an increasing integer sequence θ={kr} such that kr−kr−1→∞ as r→∞. A sequence x is called sθ-convergent to L provided that for each ϵ>0, limr(1/(kr−kr−1)){the number of   kr−1<k≤kr:|xk−L|≥ϵ}=0. In this paper, we study the general description of inclusion between two arbi...

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Bibliographic Details
Main Author: Jinlu Li
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171200001964
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