Results 21 to 30 of about 40,701 (286)

ON GENERALIZATIONS OF WEAK STATISTICAL CONVERGENCE VIA IDEALS [PDF]

International Journal of Pure and Apllied Mathematics, 2015
Statistical convergence was introduced by Fast [5] in the mid of last century as a generalization of the ordinary convergence of a sequence. He used the concept of natural density of subsets of N, the set of positive integers. The natural density of a setK ⊂ N, is denoted by δ(K) and is defined by δ(K) = limn 1 n ∑n k=1 χK(k) provided the limit exists.
M. Chawla, M.S. Saroa, V. Kumar
openaire   +1 more source

On statistical A $\mathfrak{A}$ -Cauchy and statistical A $\mathfrak{A}$ -summability via ideal

Journal of Inequalities and Applications, 2021
The notion of statistical convergence was extended to I $\mathfrak{I}$ -convergence by (Kostyrko et al. in Real Anal. Exch. 26(2):669–686, 2000). In this paper we use such technique and introduce the notion of statistically A I $\mathfrak{A}^{\mathfrak{I}
Osama H. H. Edely, M. Mursaleen
doaj   +1 more source

Ideally Statistical Convergence in n-normed Space

Journal of Advances in Mathematics and Computer Science, 2020
The aim of the article is to extend the concept of Ideally statistical convergence from 2 normed spaces to n-normed space. We have also study and prove some important algebraic and topological properties of Ideally-statistical convergence of real sequences in n-normed space.
Amani Shatarah, Nazneen Khan
openaire   +2 more sources

Dynamic Load Balancing Strategy Based on Process Optimization in SDN [PDF]

Jisuanji gongcheng, 2023
To address the issue of control plane load imbalance in Software Defined Network(SDN), where static deployment strategies for multiple controllers cannot adapt to dynamic changes in network traffic, a dynamic load balancing strategy based on process ...
Xiangju LIU, Ben ZHAO, Xianjin FANG, Yangyang XU
doaj   +1 more source

Some Results on Quasi Ideal Statistical Convergence via Fuzzy Cone Normed Spaces [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we have presented and explored the study of quasi ideal statistical convergence for sequences on fuzzy cone normed space.  The related topological and geometrical properties are illustrated with examples.
Reena Antal, Manpreet Kaur, Meenakshi Chawla   +2 more
doaj   +1 more source

Bounded Confidence and Cohesion-Moderated Pressure: A General Model for the Large-Scale Dynamics of Ordered Opinion

Entropy, 2023
Due to the development of social media, the mechanisms underlying consensus and chaos in opinion dynamics have become open questions and have been extensively researched in disciplines such as sociology, statistical physics, and nonlinear mathematics. In
Fangyikuang Ding, Yang Li, Kejian Ding
doaj   +1 more source

ON GENERALIZED STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES VIA IDEALS IN INTUITIONISTIC FUZZY NORMED SPACES [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2021
In this paper, we introduce the concept of I₂-lacunary statistical convergence and strongly I₂-lacunary convergence with respect to the intuitionistic fuzzy norm (μ,v), investigate their relationship, and make some observations about these classes. We mainly examine the relation between these two new methods and the relation between I₂-statistical ...
Kişi, Ömer, Kişi, Ömer
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On relation between statistical ideal and ideal generated by a modulus function

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022
Ideal on an arbitrary non-empty set $\Omega$ it's a non-empty family of subset $\mathfrak{I}$ of the set $\Omega$ which satisfies the following axioms: $\Omega \notin \mathfrak{I}$, if $A, B \in \mathfrak{I}$, then $A \cup B \in \mathfrak{I}$, if $A \in \
D. Seliutin
doaj   +1 more source

Generalized statistical convergence in intuitionistic fuzzy 2-normed space [PDF]

, 2015
In this paper, we shall introduce the new notion namely, I-? statistical convergence by using ideal with respect to the intuitionistic fuzzy norm (?, v)2. We also study the relation between I-?
Savaş, Ekrem
core   +1 more source

Lacunary Statistical Convergence of Multiple Sequences in Intuitionistic Fuzzy Normed Spaces [PDF]

, 2014
In this paper we introduce the notion ideal statistical convergence and ideal lacunary statistical convergence of multiple sequences with respect to the intuitionistic fuzzy norm (μ, v), investigate their relationships, and make some observations about ...
Ekrem Savaş
core   +2 more sources