IDEAL LIMIT SUPERIOR-INFERIOR

Abstract

In this paper the notation of ideal supremum and ideal inmum
of real valued sequences is dened. Besides the main properties, it is shown that equality of ideal sup and ideal inf of the sequence is necessary but not sucient for to existence of usual limit of it. On the other hand, the equality of them is necessary and sucient for to existence of ideal limit.

Keywords

• statistical limit superior and inferior,statistical supremum and inmum,I-limit

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