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On asymptotically ideal invariant equivalence of double sequences
(International Conference on Mathematics and Related Sciences(ICMRS2018), 2018)
In this study, the concepts of asymptotically I^sigma_2 -equivalent, asymptotically invariant equivalent, strongly asymptotically invariant equivalent and p-strongly asymptotically invariant equivalent for double sequences ...
Statistical Convergence of Double Sequences of Functions In 2-Normed Spaces
(2018)
Statistical convergence and statistical Cauchy sequence of functions in 2-normed space were studied by Yegül and Dündar [S. Yegül, E. Dündar, “On Statistical Convergence of Sequences of Functions In 2-Normed Spaces”, Journal ...
Fuzzy n-normlu uzaylarda çift dizilerin lacunary ideal yakınsaklığı
(2018)
The concept of statistical convergence has emerged with the expansion of convergence concept of real number
sequences. Studies on statistical convergent sequences have shown that many classical convergences in metric ...
Lacunary statistical convergence of double sequences in fuzzy n-nspacesormed
(2018)
The concept of convergence of real sequences has been extended to statistical convergence and later this concept was extended to the double sequences by Mursaleen and Edely. The concept of ordinary convergence of a sequence ...
Asymptotically lacunary I-invariant statistical equivalence of sequences of sets defined by a modulus function
(2018)
In this paper, we introduce the concepts of strongly asymptotically lacunary I-invariant equivalence, f-asymptotically lacunary I-invariant equivalence, strongly f-asymptotically lacunary I-invariant equivalence and ...
On lacunary statistical convergence of double sequences and some properties in fuzzy normed spaces
(Journal of Intelligent Fuzzy Systems, 2019)
In this study, we have investigated the concepts of lacunary summable, lacunary statistical convergence and lacunary statistically Cauchy sequence for double sequences in fuzzy normed spaces. Also, we have investigated ...
A characterization of holomorphic bivariate functions of bounded index
(2017)
The following notion of bounded index for complex entire functions was presented by
Lepson. function f(z) is of bounded index if there exists an integer N independent of z, such that
The main goal of this paper is extend ...
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.
Wijsman and Hausdorff statistical convergence of order α for double set sequences
(3rd International Congress on Science and Education, 2019)
The concept of statistical convergence was introduced by Steinhaus (1951) and Fast (1951), and later reintroduced by Schoenberg (1959) independently. Then, many researchers have studied on this concept until recently (see ...
Lacunary I_2-invariant convergence and some properties
(International Conference on Advances in Natural and Applied Sciences, 2017)
In this study, the definitions for some invariant convergence for double real numbers sequences are given by using double lacunary sequence concept and the relationships among these new types of convergence are examined