Results 101 to 110 of about 479 (148)

On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this article, we introduce the lacunary difference sequence spaces w0(M, θ, Δnm, p, q), w1(M, θ, Δnm, p, q) and w∞(M, θ, Δnm, p, q) using a sequence M = (Mk) of Orlicz functions and investigate some relevant properties of these spaces. Then, we define
Tripathy Binod Chandra, Dutta Hemen
doaj   +1 more source

Weighted Lacunary I-Statistical Convergence

open access: yesJournal of the Institute of Science and Technology, 2017
In this paper, we defne the concepts of weighted lacunary -statistical convergence or S ( ) R,θ ( ) I-convergence and[ ] R, pr ,θ I-summability, and investigate some inclusion ...
openaire   +2 more sources

Lacunary weak statistical convergence

open access: yes, 2020
In this thesis, we give the concepts of statistical convergence of order α for 0<α≤1, strong p-Cesàro summability of order α for 0<α≤1 and weak statistical convergence. Also, some relations between statistical convergence of order α and strong p-Cesàro summability of order α are given for 0<α≤1.
openaire   +1 more source

Invariant means and lacunary sequence spaces of order (α, β)

open access: yesDemonstratio Mathematica
In this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad   +3 more
doaj   +1 more source

Applications of Complex Uncertain Sequences via Lacunary Almost Statistical Convergence

open access: yesAxioms
We explore the realm of uncertainty theory by investigating diverse notions of convergence and statistical convergence concerning complex uncertain sequences.
Xiu-Liang Qiu   +5 more
doaj   +1 more source

Rough I 2 -lacunary statistical convergence of double sequences.

open access: yesJournal of inequalities and applications, 2018
In this paper, we introduce and study the notion of rough I 2 -lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough I 2 -lacunary statistical limit set of a double sequence and discuss some properties of this set.
Kişi, Ömer, Dündar, Erdinç
openaire   +4 more sources

Lacunary invariant statistical convergence of double sequences of sets [PDF]

open access: yes, 2019
In this paper, we introduce the concepts of Wijsman invariant convergence, Wijsman invariant statistical convergence, Wijsman lacunary invariant convergence, Wijsman lacunary invariant statistical convergence for double sequences of sets.
Nuray, Fatih, Ulusu, Uğur
core  

Quasi-Almost Lacunary Statistical Convergence of Sequences of Sets

open access: yesInternational 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   +2 more sources

∆f−LACUNARY STATISTICAL CONVERGENCE OF ORDER β [PDF]

open access: yes
The main object of this article is to introduce the concepts of ∆f-lacunary statistical convergence of order β and strong ∆f-lacunary summability of order β for sequences of fuzzy numbers and define some sequence classes related to these concepts.
Kasap, Mithat, Altinok, Hifsi
core   +1 more source

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