Leila MİLLER-VAN WİEREN, Emre TAŞ, Tuğba YURDAKADİM

Some new insights into ideal convergence and subsequences

Some results on the sets of almost convergent, statistically convergent, uniformly statistically convergent, $I$-convergent subsequences of $(s_{n})$ have been obtained by many authors via establishing a one-to-one correspondence between the interval $(0,1]$ and the collection of all subsequences of a given sequence $s=(s_{n})$. However, there are still some gaps in the existing literature. In this paper we plan to fill some of the gaps with new results. Some of them are easily derived from earlier results but they offer some new deeper insights.

Keywords:

ideal convergence, subsequences, I-cluster and I-limit points,

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Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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