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Lacunary Statistical Convergence of Sequences of Real-Valued Functions

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  • A. Gökhan

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.

Suggested Citation

  • A. Gökhan, 2013. "Lacunary Statistical Convergence of Sequences of Real-Valued Functions," Journal of Mathematics, Hindawi, vol. 2013, pages 1-4, January.
    • Handle: RePEc:hin:jjmath:573756
    DOI: 10.1155/2013/573756
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