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2-Normlu uzaylarda çift fonksiyon dizilerinin I_2-yakınsaklığı ve bazı özellikleri
(2019)
Çalışmamız boyunca, N tüm doğal sayılar kümesinin ve R tüm gerçek sayıların kümesini belirtecektir. Reel sayı dizilerinin bir genelleştirmesi olan istatistiksel yakınsaklık Fast (1951) tarafından tanımlandı. Daha sonra ...
Asymptotically ... Equivalence of Double Sequences of Sets Defined by Modulus Functions
(2019)
Fast (1951) and Schoenberg (1959), independently, introduced the concept of statistical convergence and many authors studied this concept. Mursaleen and Edely (2003) extended this concept to the double sequences. The idea ...
On some properties of rough convergence in 2-normed spaces
(2019)
The concepts of convergence on 2-normed space and rough convergence in normed spaces are important in summability theory. The concept of 2-normed spaces was initially introduced by Gähler in the 1960's. Since then, this ...
Asymptotically ... equivalence of double sequences defined by modulus functions
(2019)
Throughout the paper N denotes the set of all positive integers and R the set of all real numbers. The concept of convergence of a sequence of real numbers has been extended to statistical convergence independently by Fast ...
Asymptotically ... Statistical Equivalence of Double Sequences of Sets Defined by Modulus Functions
(III. InternationalCongress on Science and Education, 2019)
Statistical convergence and ideal convergence of real numbers, which are of great importance in the theory of summability, are studied by many mathematicians. Fast (1951) and Schoenberg (1959), independently, introduced ...
Asymptotically lacunary ı_2^σ-equivalence for double set sequences defined by modulus functions
(2019)
Fast (1951) and Schoenberg (1959), independently, introduced concept of statistical convergence and many authors studied some properties of this concepts. Mursaleen and Edely (2003) extended this concept to the double ...
Lacunary statistical convergence of double sequences in fuzzy normed spaces
(2018)
In this paper, we introduce the concepts of lacunary summable, lacunary statistically convergence and lacunary statistically Cauchy sequence for double sequences in fuzzy normed spaces. Also, we investigate some properties ...
Dependence on roughness degree in 2-normed spaces
(2019)
Recently, in summability theory, some mathematicians have studied the concepts of convergence on 2-normed space and rough convergence in normed space. The concept of 2-normed spaces was initially introduced by Gähler in ...
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.
Asymptotically I_2-lacunary statistical equivalence of double sequences of sets
(Ilirias Publications, 2016)
In this paper, we introduce the concepts of Wijsman asymptotically I_2-statistical equivalence, Wijsman strongly asymptotically I_2-lacunary equivalence and Wijsman asymptotically I_2-lacunary statistical equivalence of ...