Acta mathematica scientia, Series B >
I2-CONVERGENCE AND I2-CAUCHY DOUBLE SEQUENCES
Received date: 2012-10-08
Revised date: 2013-04-16
Online published: 2014-03-20
In this article, we prove a decomposition theorem for I2-convergent double sequences and introduce the notions of I2-Cauchy and I*2 -Cauchy double sequence, and then study their certain properties. Finally, we introduce the notions of regularly (I2, I)-convergence and (I2, I)-Cauchy double sequence.
Key words： Ideal; double sequences; I-convergence; I-Cauchy
ErdinC DUNDAR , Bilal ALTAY . I2-CONVERGENCE AND I2-CAUCHY DOUBLE SEQUENCES[J]. Acta mathematica scientia, Series B, 2014 , 34(2) : 343 -353 . DOI: 10.1016/S0252-9602(14)60009-6
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