Results 81 to 90 of about 1,119 (137)

Lacunary weak statistical convergence

, 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

ON I-LACUNARY ARITHMETIC STATISTICAL CONVERGENCE

, 2022
In this paper, we introduce arithmetic I-statistically convergent sequence space AISC, I-lacunary arithmetic statistically convergent sequence space AISC(theta), strongly I-lacunary arithmetic convergent sequence space AN(theta) [I] and prove some inclusion relations between these spaces. Futhermore, we give I-lacunary arithmetic statistical continuity.
openaire   +3 more sources

Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β)

Journal of Function Spaces, 2018
We first define the notion of lacunary statistical convergence of order (α,β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n-normed spaces with the help of Musielak-Orlicz function M=(Mk) of ...
S. A. Mohiuddine, Sunil K. Sharma, Dina A. Abuzaid   +2 more
doaj   +1 more source

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

Analele 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

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

Demonstratio 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, Nasiruzzaman Md., Sharma Sunil K., Cai Qing-Bo   +3 more
doaj   +1 more source

Applications of Complex Uncertain Sequences via Lacunary Almost Statistical Convergence

Axioms
We explore the realm of uncertainty theory by investigating diverse notions of convergence and statistical convergence concerning complex uncertain sequences.
Xiu-Liang Qiu, Kuldip Raj, Sanjeev Verma, Samrati Gorka, Shixiao Xiao, Qing-Bo Cai   +5 more
doaj   +1 more source

Quasi-Almost Lacunary Statistical Convergence of Sequences of Sets

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   +2 more sources

Unification of the Nature's Complexities via a Matrix Permanent-Critical Phenomena, Fractals, Quantum Computing, ♯P-Complexity. [PDF]

Entropy (Basel), 2020
Kocharovsky V, Kocharovsky V, Tarasov S.
europepmc   +1 more source

Wijsman Rough Lacunary Statistical Convergence on I Cesaro Triple Sequences

International Journal of Analysis and Applications, 2018
In this paper, we defined concept of Wijsman I-Cesàro summability for sequences of sets and investigate the relationships between the concepts of Wijsman strongly I-Cesàro summability and Wijsman statistical I− Cesàro summability by using the concept of ...
N. Subramanian, A. Esi
doaj   +2 more sources

Statistical Soft Wijsman Convergence

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
The concept of convergence is a fundamental tool for building or understanding a mathematical structure. In particular, many applied areas of mathematics require the analysis of sets or set-based approximations.
Erdal Bayram
doaj   +1 more source