Logarithmic density and logarithmic statistical convergence

نویسندگان

  • Mohammed A Alghamdi
  • Momammad Mursaleen
  • Abdullah Alotaibi
چکیده

In this paper we use the idea of logarithmic density to define the concept of logarithmic statistical convergence. We find the relations of logarithmic statistical convergence with statistical convergence, statistical summability (H, 1) introduced by Móricz (Analysis 24:127-145, 2004) and [H, 1]q-summability. We also give subsequence characterization of statistical summability (H, 1). MSC: 40A05; 40A30

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تاریخ انتشار 2013