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Vietnam Journal of Mathematics 34:3(2006) 331-339

 Strongly Almost Summable Difference Sequences

Hifsi Altinok, Mikail Et, and Yavuz Altin

Abstract.  The idea of difference sequence space was introduced by Kizmaz [12] (H. Kizmaz, On certain sequence spaces, Canad. Math. Bull. 24 (1981), 169--176) and was generalized by Et and Colak [6] (M. Et and R. Çolak, on some generalized difference sequence spaces, Soochow J. Math. 21 (1995), 301--313). In this paper we introduce and examine some properties of three sequence spaces defined by using a modulus function and give various properties and inclusion relations on these spaces.

 

2000 Mathematics Subject Classification: 40A05, 40C05, 46A45.

Keywords: Difference sequence, statistical convergence, modulus function.

 

 

 

 

 

 

 

 

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