I-Statistically Localized Sequence in 2-Normed Spaces

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Abstract

In 1974, Krivonosov defined the concept of localized sequence that is defined as a generalization of Cauchy sequence in metric spaces. In this work, by using the concept of ideal, the statistically localized sequences are defined and some basic properties of I-statistically localized sequences are given. Also, it is shown that a sequence is I-statistically Cauchy iff its statistical barrier is equal to zero.

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Yamancı, U., & Gürdal, M. (2020). I-Statistically Localized Sequence in 2-Normed Spaces. In Lecture Notes on Data Engineering and Communications Technologies (Vol. 43, pp. 1039–1046). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-36178-5_92

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