Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (2): 343-353.doi: 10.1016/S0252-9602(14)60009-6

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I2-CONVERGENCE AND I2-CAUCHY DOUBLE SEQUENCES

ErdinCDUNDAR|Bilal ALTAY   

  1. Department of Mathematics, Afyon Kocatepe University, 03200 Afyonkarahisar, Turkey; Department of Elementary Education, Inonu University, 44280 Malatya, Turkey
  • Received:2012-10-08 Revised:2013-04-16 Online:2014-03-20 Published:2014-03-20

Abstract:

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

CLC Number: 

  • 40A35
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