Results 1 to 10 of about 211 (159)

Density by moduli and Wijsman lacunary statistical convergence of sequences of sets [PDF]

Journal of Inequalities and Applications, 2017
The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus.
Vinod K Bhardwaj, Shweta Dhawan
doaj   +4 more sources

Some new lacunary statistical convergence with ideals [PDF]

Journal of Inequalities and Applications, 2017
In this paper, the idea of lacunary I λ $I_{\lambda}$ -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function.
Adem Kilicman, Stuti Borgohain
doaj   +2 more sources

Strongly Lacunary Ward Continuity in 2-Normed Spaces [PDF]

The Scientific World Journal, 2014
A function f defined on a subset E of a 2-normed space X is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in E; that is, (f(xk)) is a strongly lacunary quasi-Cauchy sequence whenever (xk) is strongly
Hüseyin Çakalli, Sibel Ersan
doaj   +2 more sources

Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we introduce and study the notion of rough I2 $\mathcal {I}_{2}$-lacunary statistical convergence of double sequences in normed linear spaces.
Ömer Kişi, Erdinç Dündar
doaj   +2 more sources

Lacunary Series and Strong Approximation [PDF]

Entropy
Strong approximation, introduced by Strassen (1964), is one of the most powerful methods to prove limit theorems in probability and statistics. In this paper we use strong approximation of lacunary series with conditionally independent sequences to prove
István Berkes
doaj   +2 more sources

On some spaces of lacunary convergent sequences derived by Nörlund-type mean and weighted lacunary statistical convergence

Arab Journal of Mathematical Sciences, 2014
In this paper, we define some new sequence spaces of lacunary convergent sequences derived by Nörlund-type (Riesz) mean, which shall be denoted by |N‾,pr,θ| and (N‾,pr,θ), and investigate some relations between the sequence space |N‾,pr,θ| with the ...
Metin Başarır, Şükran Konca
doaj   +3 more sources

New Perspectives on Generalised Lacunary Statistical Convergence of Multiset Sequences

Mathematics
This paper explores the concepts of J-lacunary statistical limit points, J-lacunary statistical cluster points, and J-lacunary statistical Cauchy multiset sequences.
María C. Listán-García, Ömer Kişi, Mehmet Gürdal   +2 more
doaj   +3 more sources

Lacunary Statistical Convergence in Measure for Double Sequences of Fuzzy Valued Functions

Journal of Mathematics, 2021
Based on the concept of lacunary statistical convergence of sequences of fuzzy numbers, the lacunary statistical convergence, uniformly lacunary statistical convergence, and equi-lacunary statistical convergence of double sequences of fuzzy-valued ...
Ömer Kişi
doaj   +1 more source

Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space

Journal of Mathematical Sciences and Modelling, 2023
On $\mathscr{L}-$ fuzzy normed spaces, which is the generalization of fuzzy spaces, the notion of lacunary statistical convergence for double sequences which is a generalization of statistical convergence, are studied and developed in this paper.
Reha Yapalı, Husamettin Coşkun
doaj   +1 more source

On I θ 2 $\mathcal{I}_{{\theta}_{2}}$ -convergence in fuzzy normed spaces

Journal of Inequalities and Applications, 2020
In this study, first, lacunary convergence of double sequences is introduced in fuzzy normed spaces, and basic definitions and theorems about lacunary convergence for double sequences are given in fuzzy normed spaces.
Muhammed Recai Türkmen
doaj   +1 more source