Preprint Article Version 1 This version is not peer-reviewed

Rough I2-Lacunary Statistical Convergence of Double Sequences

Version 1 : Received: 14 June 2018 / Approved: 14 June 2018 / Online: 14 June 2018 (12:31:14 CEST)

How to cite: Kişi, Ö.; Dündar, E. Rough I2-Lacunary Statistical Convergence of Double Sequences. Preprints 2018, 2018060235 (doi: 10.20944/preprints201806.0235.v1). Kişi, Ö.; Dündar, E. Rough I2-Lacunary Statistical Convergence of Double Sequences. Preprints 2018, 2018060235 (doi: 10.20944/preprints201806.0235.v1).

Abstract

In this paper, we introduce and study the notion of rough I2-lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough I2-lacunary statistical limit set of a double sequence and discuss about some properties of this set.

Subject Areas

statistical convergence; I-convergence; rough convergence; lacunary sequences; double sequences

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