Lacunary Statistical Convergence of Sequences of Real-Valued Functions

A. Gökhan

Journal of Mathematics, 2013, vol. 2013, 1-4

Abstract:

We introduce the concepts of the lacunary statistical convergence of sequences of real-valued functions. We also give the relation between this convergence and strongly lacunary and pointwise statistical convergence. Furthermore we introduce the concept of a lacunary statistical Cauchy sequence for functional sequences and prove that it is equivalent to lacunary statistical convergence of sequences of real-valued functions.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:573756

DOI: 10.1155/2013/573756

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