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On λ-convergence and λ-boundedness of mth order

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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,… Click to show full abstract

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.

Keywords: convergence boundedness; sequence spaces; boundedness mth; boundedness; mth order; convergence

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2019

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