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An extension of asymptotically lacunary statistical equivalence set sequences
(Springer, 2014)This paper presents, for sequences of sets ,the notions of asymptotically lacunary statistical equivalence (in the sense of Wijsman) of multiplicity L, strongly asymptotically lacunary p-equivalence (in the sense of Wijsman) ... -
On almost asymptotically lacunary statistical equivalence of sequences of sets
(Fractional Calculus and Application Group, 2014)In this paper we study the concepts of Wijsman almost asymptotically statistical equivalent, Wijsman almost asymptotically lacunary statistical equivalent and Wijsman strongly almost asymptotically lacunary equivalent sequences ... -
I-lacunary statistical convergence of sequences of sets
(Faculty of Sciences and Mathematics, University of Nis, 2014)In this paper we study the concepts of Wijsman I-statistical convergence, Wijsman I-lacunary statistical convergence and Wijsman strongly I-lacunary convergence of sequences of sets and investigate the relationship between them -
Wijsman I_2-convergence 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. -
On strongly I-Lacunary Cauchy sequences of sets
(2014)In this study, we examinate the ideas of Wijsman strongly lacunary Cauchy, Wijsman strongly I-lacunary Cauchy and Wijsman strongly I∗-lacunary Cauchy sequences of sets and investigate the relationship between them. -
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 ... -
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 ... -
Rough I-convergence
(Demonstratio Mathematica, 2014)In this work, using the concept of I-convergence and using the concept of rough convergence, we introduced the notion of rough I-convergence and the set of rough I-limit points of a sequence and obtained two rough I-convergence ... -
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. -
Epi-cesaro convergence
(2015)Since the turn of the century there have been several notions of convergence for subsets of metric spaces appear in the literature. Appearing in as a subset of these notions is the concepts of epi-convergence. In this ... -
Some Tauberian theorems for four-dimensional Euler and Borel summability
(2015)The four-dimensional summability methods of Euler and Borel are studied as mappings from absolutely convergent double sequences into themselves. Also some Tauberian results are proved. -
Submatrices of four dimensional summability matrices
(2015)In this paper, we show that a matrix that maps ℓ′′ into ℓ′′ can be obtained from any RH-regular matrix by the deletion of rows. Also a four dimensional conservative matrix can be obtained by the deletion of rows from a ... -
Multivalence of bivariate functionsof bounded index
(2015)This paper examines the relationship between the concept of bounded index and the radius of univalence, respectively p-valence, of entire bivariate functions and their partial derivatives at arbitrary points in C^2. -
Entire bivariate functions of exponential type
(World Scientific, 2015)In this paper we will analysis the concepts of bivariate entire complex valued functions of exponential type. To accomplish this goal, we begin with the presentation of a notion of bounded index for bivariate complex ... -
Regularly ideal convergence and regularly ideal cauchy double sequences in 2-normed spaces
(JSTOR, 2015)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. -
Lacunary statistical summability of sequences of sets
(Konuralp Journal of Mathematics, 2015)In this paper we define the WS_θ-analog of the Cauchy criterion for convergence and show that it is equivalent to Wijsman lacunary statistical convergence. Also, Wijsman lacunary statistical convergence is compared to other ... -
I_2-convergence of double sequences of functions
(Electronic Journal of Mathematical Analysis and Applications, 2015)In this work, we discuss various kinds of ideal convergence for double sequences of functions with values in R. We introduce the concepts of I_2, I∗_2-pointwise convergence and the concepts of I_2, I∗_2-pointwise Cauchy ... -
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. -
I_2-Cauchy double sequences in 2 normed spaces
(2015)The concept I-Cauchy and I∗-Cauchy sequences were studied by Gürdal and Acik in on I-Cauchy sequences in 2-normed spaces, Math. Inequal. Appl. 11 (2) (2008), 349--354. In this paper, we introduce the notions of I2-Cauchy ... -
Asymptotically lacunary statistical equivalence of double sequences of sets
(2016)The concepts of Wijsman asymptotically equivalence, Wijsman asymptotically statistically equivalence, Wijsman asymptotically lacunary equivalence and Wijsman asymptotically lacunary statistical equivalence for sequences ...