On I and I ∗ −convergence of double sequences

The idea of I-convergence for single sequences was introduced by Kostyrko, Salat and Wilczynski (7) in 2000/2001 and de- veloped in (1), (2), (3), (6), (8), (9), and (15). Nowaday it has become one of the most active areas of research in classical analysis. Recently Tripathy and Tripathy (15) extended the concept of I-Convergence from single sequences to double sequences. In this paper we introduce the con- cept of I ∗ -convergence for double sequences and prove some results for I and I ∗ -convergence of double sequences.