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I2-CONVERGENCE AND I2-CAUCHY DOUBLE SEQUENCES
(Springer, 2014) Dundar, Erdinc; Altay, Bilal
In this article, we prove a decomposition theorem for I-2-convergent double sequences and introduce the notions of I-2-Cauchy and I-2(*)-Cauchy double sequence, and then study their certain properties. Finally, we introduce the notions of regularly (I-2,I)-convergence and (I-2,I)-Cauchy double sequence.
I2-Uniform Convergence of Double Sequences of Functions
(Univ Nis, Fac Sci Math, 2016) Dundar, Erdinc; Altay, Bilal
In this work, we discuss various kinds of I-2-uniform convergence for double sequences of functions and introduce the concepts of I-2 and I-2-uniform convergence, I-2-uniformly Cauchy sequences for double sequences of functions. Then, we show the relation between them.
Multipliers for bounded l2-convergence of double sequences
(Pergamon-Elsevier Science Ltd, 2012) Dundar, Erdinc; Altay, Bilal
Multipliers and factorizations for bounded statistically convergent sequences were studied by Connor et al. [J. Connor, K. Demirci, C. Orhan, Multipliers and factorizations for bounded statistically convergent sequences, Analysis 22 (2002) 321-333] and for bounded I-convergent sequences by Yardimci [S. Yardimci, Multipliers and factorizations for bounded I-convergent sequences, Math. Commun., 11 (2006) 181-185]. In this paper, we get analogous results of multipliers for bounded L-2-convergent double sequences. (C) 2011 Elsevier Ltd. All rights reserved.