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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.
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 ...
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, ...
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 ...
I_2-Convergence and I_2-Cauchy double sequences
(ScienceDirect, 2014)
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 ...
On some results of I2 convergence of double sequences of functions
(Mathematical Sciences and Applications E-Notes (MSAEN), 2015)
In this work, we investigate some results of I2-convergence of double sequences of real valued functions and prove a decomposition theorem.
Lacunary I_2-invariant convergence and some properties
(2018)
In this paper, the concept of lacunary invariant uniform density of any subset A of the set N×N is defined. Associate with this, the concept of lacunary I_2-invariant convergence for double sequences is given. Also, we ...
Asymptotically lacunary I_2-invariant equivalence
(International Conference on Mathematical and Related Sciences, 2018)
In this study, the concept of asymptotically lacunary I_2-invariant equivalence, the concepts of asymptotically lacunary σ_2-equivalence and the concept of asymptotically lacunary invariant S_2-equivalence for double ...
On Strongly I and I-Lacunary convergence of sequences of sets
(2014)
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 ...