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On some properties of I_2-Convergence and I_2-Cauchy of double sequences
(2011)
In this paper we study the concepts of I-Cauchy and I∗-Cauchy for double sequences in a linear metric space. Also, we give the relation between I-convergence and I*-convergence of double sequences of functions defined ...
Regularly (I_2, I)-convergence and regularly (I_2, I)-Cauchy double sequences of fuzzy numbers
(2013)
In this paper, we introduce the notions of regularly, (I_2,I)-convergence and regularly, (I_2,I)-Cauchy double sequence of fuzzy numbers. Also, we study some properties of these concepts.
I_2-Cauchy double sequences of fuzzy numbers
(2013)
In this paper, we introduce the concepts of I2-Cauchy, I∗2-Cauchy double sequence of fuzzy numbers and study their some properties and relations, where I2 denotes the ideal of subsets of N × N.
Lacunary I_σ-convergence
(2016)
In this study, the concept of lacunary invariant uniform density of any subset A of the set N of positive integers is defined. Associate with this, the concept of lacunary I-invariant convergence for real number sequences ...
On strongly I and I^*-lacunary convergence of sequences of sets
(2013)
In this paper we study the concepts of Wijsman strongly lacunary convergence, Wijsman strongly I-lacunary convergence, Wijsman strongly I^*-lacunary convergence and Wijsman strongly I-lacunary Cauchy sequences of sets and ...
Regularly I_2-Convergence and I_2-Cauchy double dequences of functions
(Pioneer Scientific Publisher, 2011)
In this paper, author introduces the notions of regularly (I_2, I)-convergence and (I_2, I)-Cauchy double sequence of real valued functions. Also, study some properties of them.
A generalization of asymptotically I-lacunary statistical equivalence of sequences of sets
(Murat TOSUN, 2016)
This paper presents, for sequences of sets, generalize the concepts of Wijsman asymptotically strongly I-lacunary equivalence and Wijsman asymptotically strongly I-Cesàro equivalence by using p=(p_k) which is the sequence ...
Asymptotically I2-Ces`aro equivalence of double sequences of sets
(Ilirias Publications, 2016)
In this paper, we defined concept of asymptotically I_2-Ces`aro equivalence and investigate the relationships between the concepts of asymptotically strongly I_2-Ces`aro equivalence, asymptotically strongly I_2-lacunary ...
Multipliers for bounded I_2-convergence of double sequences
(2012)
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, ...
I_2-Convergence of double sequence of fuzzy numbers
(2013)
In this paper, we introduce and study the concepts of I_2-convergence, I∗_2-convergence for double sequences of fuzzy real numbers, where I_2 denotesthe ideal of subsets of N × N. Also, we study some properties and relations ...
