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In this paper, we define the concept of statistical convergence of sequences by Nörlund summability method and obtain a few results on the relationship between Nörlund summability and Nörlund statistical convergence in a complete, non-trivially valued, non-archimedean field K. Also, the necessary and sufficient Tauberian conditions under which statistical convergence follows from statistical summability by Nörlund means over K are discussed.

journal of mathematics and computer science

Nörlund statistical convergence and Tauberian conditions for statistical convergence from statistical summability using Nörlund means in non-Archimedean fields