5,698 research outputs found
Lacunary statistical cluster points of sequences
In this note we introduce the concept of a lacunary statistical cluster
(l.s.c.) point and prove some of its properties in finite dimensional
Banach spaces. We develop the method suggested by S. Pehlivan and M.A. Mamedov [20] where it was proved that under some conditions optimal paths have the same unique stationary limit point and stationary cluster point. We also show that the set of l.s.c. points is nonempty and compact
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 the notions of regularly (I2, I)-
convergence and (I2, I)-Cauchy double sequence
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
Tauberian theorems for weighted mean statistical summability of double sequences of fuzzy numbers
We discuss Tauberian conditions under which the statistical convergence of double sequences of fuzzy numbers follows from the statistical convergence of their weighted means. We also prove some other results which are necessary to establish the main results
Lacunary statistical cluster points of sequences
In this note we introduce the concept of a lacunary statistical cluster
(l.s.c.) point and prove some of its properties in finite dimensional
Banach spaces. We develop the method suggested by S. Pehlivan and M.A. Mamedov [20] where it was proved that under some conditions optimal paths have the same unique stationary limit point and stationary cluster point. We also show that the set of l.s.c. points is nonempty and compact
ON I- CONVERGENCE OF SEQUENCES IN GRADUAL NORMED LINEAR SPACES
In this paper, we introduce the concepts of and convergence of sequences in gradual normed linear spaces. We study some basic properties and implication relations of the newly defined convergence concepts. Also, we introduce the notions of and Cauchy sequences in the gradual normed linear space and investigate the relations between them
On some results of I2 convergence of double sequences of functions
In this work, we investigate some results of I2-convergence of double sequences of real valued functions and prove a decomposition theorem
On I-acceleration convergence of sequences of fuzzy real numbers
In this article we introduce the notion of ideal acceleration convergence of sequences of fuzzy real numbers. We have proved a decomposition theorem for ideal acceleration convergence of sequences as well as for subsequence transformations and studied different types of acceleration convergence of fuzzy real valued sequence
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