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On the Statistical Convergence of Order α in Paranormed Space

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The aim of the present work is to introduce notions of statistical convergence, strongly p-Cesàro summability and the statistically Cauchy sequence of order α in paranormed spaces. Some certain topological… Click to show full abstract

The aim of the present work is to introduce notions of statistical convergence, strongly p-Cesàro summability and the statistically Cauchy sequence of order α in paranormed spaces. Some certain topological properties of these new concepts are examined. Furthermore, we introduce the some inclusion relations among them.

Keywords: order paranormed; paranormed space; statistical convergence; convergence order

Journal Title: Symmetry
Year Published: 2018

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