On I -Statistically Cauchy Sequences & the Class of I -Statistically Concurrent Sequences
Abstract In this article, we present the ideas of I -statistically Cauchy criteria and I ∗ -statistically Cauchy criteria, which are the generalizations of
Rakshit, Debjani +2 more
openaire +1 more source
On I-Cauchy sequences in 2-normed spaces
The concept of I-convergence is a generalization of statistical convergence and it is depended on the notion of the ideal I of subsets of the set N of positive integers. In this paper for sequences in 2-normed space the relationship between I-convergence
ACIK, Isil, GÜRDAL, Mehmet
core
Statistical Convergence of Double Sequences of Functions In 2-Normed Spaces [PDF]
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 of Classical Analysis, 10(1) (
Dündar, Erdinç, Yegül, Sevim
core
Density by Moduli and Lacunary Statistical Convergence
We have introduced and studied a new concept of f-lacunary statistical convergence, where f is an unbounded modulus. It is shown that, under certain conditions on a modulus f, the concepts of lacunary strong convergence with respect to a modulus f and f ...
Vinod K. Bhardwaj, Shweta Dhawan
doaj +1 more source
Wijsman statistical convergence of double sequences of sets
In this paper, we study the concepts of Wijsman statistical convergence, Hausdorff statistical convergence and Wijsman statistical Cauchy double sequences of sets and investigate the relationships between ...
Dündar, Erdinç +2 more
core +1 more source
On pointwise statistical convergence of order α of sequences of fuzzy mappings
In this paper, we introduce the concept of pointwise statistical convergence of order α of sequences of fuzzy mappings. Furthermore we give the concept of α-statistically Cauchy sequence for sequences of fuzzy mappings and prove that it is equivalent to ...
MIKAIL ET +2 more
doaj
Statistical convergence of matrix sequences [PDF]
This paper extends the statistical convergence of real or complex numbers to the real square matrices sequences. In this context, we investigate the relation between the statistical convergence, statistical Cauchy condition, strong Cesáro summability of ...
Nuray Yıldırım, Elif
core
Deferred statistical convergence of double sequences in neutrosophic normed spaces
This work explores the concepts of deferred Cesaro mean and deferred statistical convergence for double sequences in neutrosophic normed spaces (shortly NNS). We investigate several fundamental properties of these newly studied concepts. Additionally, we
Choudhury, Chiranjib, Kişi, Ömer
core +1 more source
Statistical convergence of triple sequences on probabilistic normed space [PDF]
The concept of statistical convergence was presented by Fast [7]. This concept was extended to the double sequences by Mursaleen and Edely [21]. In this paper, we dene statistical analogues of convergence and Cauchy for triple sequences on probabilistic ...
Ertürk, Müzeyyen, Savaş, Ekrem
core +1 more source
On q-statistical convergence and statistical solution of q-Cauchy problem
In this paper, we present the concept of q-statistical convergence for any sequence of real-valued functions. Several characteristics of q-statistical convergence for sequences of functions with real values are examined.
Zengin Gülenay +3 more
semanticscholar +1 more source

