Now showing items 1-10 of 51
2-Normlu uzaylarda çift fonksiyon dizilerinin I_2-yakınsaklığı ve bazı özellikleri
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 defined by modulus functions
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
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
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 ...
Inclusion theorems of double Deferred Cesàro means II
In 1932 R. P. Agnew present a definition for Deferred Ces`aro mean. Using this definition R. P. Agnew present inclusion theorems for the deferred and none Deferred Ces`aro means. This paper is part 2 of a series of papers ...
Linear functionals connected with strong double cesaro summability
D. Borwein characterized linear functionals on the normed linear spaces wp and Wp. In this paper we extend his results by presenting definitions for the double strong Cesaro mean. Using these new notions of strongly ...
I_2-Cauchy double sequences of fuzzy numbers
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.
Some Tauberian theorems for four-dimensional Euler and Borel summability
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.
Multipliers for bounded I_2-convergence of double sequences
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, ...