On λ-convergence and λ-boundedness of mth order

Sinan Ercan and Çiğdem Asma Bektaş

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 14, 3276-3285

Abstract: In the present paper, we introduce the notion of λm-convergence and λm -boundedness. We examine the relationship of these notions between of the ordinary convergence and ordinary boundedness, respectively. We also introduce new sequence spaces and some topological properties of these spaces. Furthermore, we investigate some inclusion relations between these sequence spaces and other well known sequence spaces.

Date: 2021
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DOI: 10.1080/03610926.2019.1692032

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