Statistical Convergence of Spliced Sequences in Terms of Power Series on Topological Spaces

Year 2023, Volume: 11 Issue: 2, 104 - 111, 30.06.2023

Sevcan Demirkale , Emre Taş

https://doi.org/10.36753/mathenot.1212331

Cited By: 1

Abstract

In the present paper, $P-$distributional convergence which is defined by power series method has been introduced. We give equivalent expressions for $P-$distributional convergence of spliced sequences. Moreover, convergence of a bounded $\infty$-spliced sequence via power series method is represented in terms of Bochner integral in Banach spaces.

Keywords

P-distributional convergence , P-density , Power series , P-statistical convergence , spliced sequences

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