Abstract
We study $f-$statistical convergence, which is a generalization of the classical statistical convergence. In terms of it, we give a characterization of completeness in a normed space. We also introduce `$f-$statistical cluster points', which is a richer concept than the classic one. Namely, each (usual) limit point of a sequence is an $f-$statistical cluster point for some $f$.
Citation
M. C. Listán-García. "$f-$statistical convergence, completeness and $f-$cluster points." Bull. Belg. Math. Soc. Simon Stevin 23 (2) 235 - 245, may 2016. https://doi.org/10.36045/bbms/1464710116
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