Now showing items 1-10 of 41
On some asymptotically equivalence types for double sequences and relations among them
In this study, we give deﬁnitions of asymptotically lacunary invariant equivalence, strongly asymptotically lacunary invariant equivalence and asymptotically lacunary ideal invariant equivalence for double sequences. We ...
Regularly (I_2, I)-convergence and regularly (I_2, I)-Cauchy double sequences of fuzzy numbers
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.
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.
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, ...
On convergence of double sequences of functions
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
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 ...
I_2-Convergence of double sequence of fuzzy numbers
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 ...
I_2-Convergence and I_2-Cauchy double sequences
In this article, we prove a decomposition theorem for I2-convergent double sequences and introduce the notions of I2-Cauchy and I 2 -Cauchy double sequence, and then study their certain properties. Finally, we introduce ...
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
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 ...