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<p>In this paper, we define the notions of statistical convergence and lacunary statistical convergence for double sequences using an unbounded modulus function in topological groups. We also show the relations between statistical convergence and lacunary statistical convergence defined in topological groups. In addition, we will examine some inclusion theorems for different unbounded modulus functions.</p>

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Statistical Convergence for Double Sequences in Topological Groups

  • 期刊论文

  • 发表日期：

    2026年2月14日

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  • Süleyman Sarikaya,
  • Yavuz Altin

摘要

In this paper, we define the notions of statistical convergence and lacunary statistical convergence for double sequences using an unbounded modulus function in topological groups. We also show the relations between statistical convergence and lacunary statistical convergence defined in topological groups. In addition, we will examine some inclusion theorems for different unbounded modulus functions.