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The space Lq of double sequences
(Department of Mathematics, Faculty of Science, Okayama University, 200901)The spaces BS, BS(t), CSp, CSbp, CSr and BV of double sequences have recently been studied by Altay and Başar [J. Math. Anal. Appl. 309(1)(2005), 70–90]. In this work, following Altay and Başar [1], we introduce the ... 
I_σconvergence
(Department of Mathematics, University of Osijek, 2011)In this paper, the concepts of σuniform density of subsets A of the set N of positive integers and corresponding I_σconvergence were introduced. Furthermore, inclusion relations between I_σconvergence and invariant ... 
On some properties of I_2Convergence and I_2Cauchy of double sequences
(2011)In this paper we study the concepts of ICauchy and I∗Cauchy for double sequences in a linear metric space. Also, we give the relation between Iconvergence and I*convergence of double sequences of functions defined ... 
Regularly I_2Convergence and I_2Cauchy 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. 
Multipliers for bounded I_2convergence 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, ... 
Multipliers for bounded statistical convergence of double sequences
(2012)Multipliers and factorizations for bounded statistically convergent sequences were studied in μdensity by Connor et al. [J. Connor, K.Demirci, C. Orhan, Multipliers and factorizations for bounded statistically convergent ... 
Lacunary statistical convergence of sequences of sets
(Canadian Research & Development Center of Sciences and Cultures, 2012)Several notions of convergence for subsets of metric space appear in the literature. In this paper we deﬁne lacunary statistical convergence for sequences of sets and study in detail the relationship between other convergence ... 
On regular ces`aro double sequence spaces
(2012)In this study, we deﬁne the double sequence space Ces_r and examine some properties of this sequence space. Furthermore, we determine the β(r)dual of the space Ces_r . 
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_2Cauchy double sequences of fuzzy numbers
(2013)In this paper, we introduce the concepts of I2Cauchy, I∗2Cauchy double sequence of fuzzy numbers and study their some properties and relations, where I2 denotes the ideal of subsets of N × N. 
I_2Convergence of double sequence of fuzzy numbers
(2013)In this paper, we introduce and study the concepts of I_2convergence, I∗_2convergence for double sequences of fuzzy real numbers, where I_2 denotesthe ideal of subsets of N × N. Also, we study some properties and relations ... 
On the fine spectrum of the upper triangle double band matrix Δ+ on the sequence space c0
(2013)In this study, we determine the fine spectrum of the matrix operator ∆+ defined by an upper triangle double band matrix acting on the sequence space c_0 with respect to the Goldberg’s classification. As a new development, ... 
On strongly lacunary summability of sequences of sets
(Journal of Applied Mathematics & Bioinformatics, 2013)In this paper, we introduce the concept of Wijsman strongly lacunary summability for set sequences. Then, we discus its relation with Wijsman strongly Ces`aro summability. Furthermore, we also give its relation with Wijsman ... 
On asymptotically lacunary statistical equivalent set sequences
(Hindawi Publishing Corporation, 2013)This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence. In addition, we also ... 
Küme dizilerinin istatistiksel lacunary toplanabilirliği
(Afyon Kocatepe Üniversitesi, 2013)Bu çalışmada, küme dizileri için Wijsman istatistiksel lacunary toplanabilme kavramı tanımlandı ve bu kavramın daha önceden Ulusu ve Nuray (2012) tarafından verilen küme dizilerinin Wijsman lacunary istatistiksel yakınsaklık ... 
On convergence of double sequences of functions
(2014)In this work, we deal with various kinds of convergence for double sequences of functions with values in R. We introduce the concepts of uniformly convergent and uniformly Cauchy sequences for double sequences of ... 
Cesaro summability of double sequences of sets
(ICSRS Publication, 2014)In this paper, we study the concepts of Wijsman Ces`aro summability and Wijsman lacunary convergence of double sequences of sets and investigate the relationship between them. 
Rough convergence of double sequences
(2014)In this paper, we introduce the notion of rough convergence and the set of rough limit points of a double sequence and obtained two rough convergence criteria associated with this set. Later, we proved that this set is ... 
Wijsman I_2convergence of double sequences of closed sets
(Pure and Applied Mathematics Letters, 2014)In this paper, we study the concepts of Wijsman ℐ2, ℐ2∗convergence and Wijsman ℐ2, ℐ2∗Cauchy double sequences of sets and investigate the relationships among them. 
I_2Convergence and I_2Cauchy double sequences
(ScienceDirect, 2014)In this article, we prove a decomposition theorem for I2convergent double sequences and introduce the notions of I2Cauchy and I 2 Cauchy double sequence, and then study their certain properties. Finally, we introduce ...