Browsing Matematik Bölümü by Issue Date
Now showing items 1-20 of 148
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The space Lq of double sequences
(Department of Mathematics, Faculty of Science, Okayama University, 2009-01)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 ... -
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-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. -
I_σ-convergence
(Department of Mathematics, University of Osijek, 2011)In this paper, the concepts of σ-uniform density of subsets A of the set N of positive integers and corresponding I_σ-convergence were introduced. Furthermore, inclusion relations between I_σ-convergence and invariant ... -
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 . -
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 ... -
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, ... -
Multipliers for bounded statistical convergence of double sequences
(2012)Multipliers and factorizations for bounded statistically convergent sequences were studied in μ-density by Connor et al. [J. Connor, K.Demirci, C. Orhan, Multipliers and factorizations for bounded statistically convergent ... -
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 ... -
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 ... -
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 ... -
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 ... -
Regularly ideal convergence and regularly ideal cauchy double sequences in 2-normed spaces
(Algerian-Turkish International Days on Mathematics 2013, 2013)In this paper, we introduce the notions of (I_2; I), (I*_2 ; I*)-convergence and (I_2; I), (I*_2 ; I*)-Cauchy double sequence in regular sense in 2-normed spaces. Also, we study some properties of these concepts. -
Multipliers for bounded convergent of double sequences
(2013)In this paper we investigate multipliers for bounded convergence of double sequences and study some properties and relations between ℓ^2, c2(b) and c20(b). -
An extension of asymptotically lacunary statistical equivalence set sequences
(2013)This paper presents, for sequences of sets, the notions of asymptotically lacunary statistical equivalent (Wijsman sense) of multiple L, strongly asymptotically lacunary p-equivalent (Wijsman sense) of multiple L and ... -
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, 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. -
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, ... -
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. -
On some double cesàro sequence spaces
(JSTOR, 2014)In this study, we define the double Ces`aro sequence spaces Ces_p , Ces_bp and C es bp_0 and examine some properties of those sequence spaces. Furthermore, we determine the β(bp)-duals of the spaces Ces_ bp and Ces_p .
