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Statistical convergence, selection principles and asymptotic analysis. (English) Zbl 1198.40006

Summary: We consider the set \(\mathbb{S}\) of sequences of positive real numbers in the context of statistical convergence/divergence and show that some subclasses of \(\mathbb{S}\) have certain nice selection and game-theoretic properties.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC:

40G15 Summability methods using statistical convergence
91A05 2-person games
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