Statistical Convergence of Double Sequence in Paranormed Spaces

Volume 10, Issue 1, pp 47-53 http://dx.doi.org/10.22436/jmcs.010.01.04

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Authors

Fatemeh Amouei Arani - Department of Mathematics, Payamenoor University , P.O. Box.19395-4697, Tehran, Iran. Madjid Eshaghi Gordji - Department of Mathematics, Semnan University ,P.O.BOX35195-363, Semnan. Iran. Soraya Talebi - Payamenoor University , P.O. Box.19395-4697, Tehran, Iran.

Abstract

In this article we define and investigate statistical convergence and Cauchy for double sequences in paranormed spaces. We also obtain a criterion for a double sequence in paranormed spaces to be a statistical Cauchy sequence.

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Keywords

• statistical convergence
• g-statistical convergence
• double sequences
• paranormed spaces.

MSC

•  46A45
•  40A35
•  40B05

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