I_2-CONVERGENCE AND I_2-CAUCHY DOUBLE SEQUENCES

摘要

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.