Results 21 to 30 of about 869,302 (176)

On Asymptotically Lacunary Statistical Equivalent Set Sequences [PDF]

Journal of Mathematics, 2013
This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence.
Uğur Ulusu, Fatih Nuray
doaj   +4 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 Basarir, Sükran Konca
exaly   +3 more sources

Variations on lacunary statistical quasi Cauchy sequences [PDF]

AIP Conference Proceedings, 2019
In this paper, we introduce a concept of lacunary statistically p-quasi-Cauchyness of a real sequence in the sense that a sequence (αk) is lacunary statistically p-quasi-Cauchy if limr→∞1hr|{k ∈ Ir:|αk+p−αk|≥e}| = 0 for each e > 0. A function f is called lacunary statistically p-ward continuous on a subset A of the set of real numbers ℝ if it preserves
Yildiz, Sebnem, Sebnem Yildiz
openaire   +6 more sources

Quasi-Almost Lacunary Statistical Convergence of Sequences of Sets [PDF]

International Journal of Analysis and Applications, 2018
In this study, we defined concepts of Wijsman quasi-almost lacunary convergence, Wijsman quasi-strongly almost lacunary convergence and Wijsman quasi q-strongly almost lacunary convergence.
Esra Gulle, Ugur Ulusu
doaj   +4 more sources

Fuzzy real valued lacunary I-convergent sequences

Applied Mathematics Letters, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bipan Hazarika
exaly   +4 more sources

Statistical Lacunary Summability of Sequences of Sets [PDF]

Afyon Kocatepe University Journal of Sciences and Engineering, 2013
Bu çalışmada, küme dizileri için Wijsman istatistiksel lacunary toplanabilme kavramı tanımlandı ve bu kavramın daha önceden Ulusu ve Nuray (2012) tarafından verilen küme dizilerinin Wijsman lacunary istatistiksel yakınsaklık kavramı ile ilişkisinden ...
Uğur Ulusu, Fatih Nuray
openaire   +3 more sources

Lacunary I-Convergent Sequences [PDF]

Kyungpook mathematical journal, 2012
Summary: In this article we introduce the concepts of lacunary \(I\)-convergent sequences. We investigate its different properties like solid, symmetric, convergence free etc.
Tripathy, Binod Chandra, Hazarika, Bipan, Choudhary, Bisweshwar   +2 more
openaire   +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

Lacunary ℐ-Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces

Journal of Mathematics, 2021
The concepts of invariant convergence, invariant statistical convergence, lacunary invariant convergence, and lacunary invariant statistical convergence for set sequences were introduced by Pancaroğlu and Nuray (2013).
Mualla Birgül Huban
doaj   +1 more source