On the ideal convergence of subsequences and rearrangements of a real sequence. (English) Zbl 1206.40001
The authors examine the ideal convergence of subsequences and rearrangements of a real sequence. They obtain a necessary and sufficient condition for a sequence to be statistically convergent. In the last section they present some results related to the \(I_{\varphi}\)-continuity, the set of \(I_{\varphi}\)-limit points and set of \(I_{\varphi}\)-cluster points.
Reviewer: İbrahim Çanak (İzmir)
MSC:
| 40A35 | Ideal and statistical convergence |
Keywords:
ideal convergence; statistical convergence; rearrangement; \(\varphi \)-density; \(\mathcal I _{\varphi}\)-continuity; \(\mathcal I_{\varphi}\)-limit pointReferences:
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