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Zbl 1062.40003
Mursaleen, Mohammad; Edely, Osama H.H.
Generalized statistical convergence. (English)
[J] Inf. Sci. 162, No. 3-4, 287-294 (2004). ISSN 0020-0255

A new concept of statistical convergence, $\cal{B}$-statistical convergence, that includes the usual statistical convergence, $A$-statistical convergence, lacunary statistical convergence, as particular cases, is introduced. Correspondingly, $\cal{B}$-statistical limit points, $\cal{B}$-statistical cluster points, etc., are defined and studied.
[Vasile Berinde (Baia Mare)]

MSC 2000:: *40A05 Convergence of series and sequences
40C05 Matrix methods in summability

Keywords: statistical convergence; $\cal{B}$-statistical convergence; $\cal{B}$-statistical limit point; $\cal{B}$-statistical cluster point

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