Ideal convergence generated by double summability methods
The main result of this note is that if I is an ideal generated by a regular double summability matrix summability method T that is the product of two nonnegative regular matrix methods for single sequences, then I-statistical convergence and convergence
Connor Jeff
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On asymptotically Wijsman lacunary statistical convergence of set sequences in ideal context
In this paper, we introduce some definitions which are natural combination of the notions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, Wijsman convergence and ideal. In addition, we also define the concept of asymptotically equivalent sequences of sets in the sense ofWijsman convergence and prove ...
Hazarika, Bipan, Esi, Ayhan
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Generalized s r I -statistical convergence in intuitionistic fuzzy normed linear space [PDF]
The notion of lacunary ideal convergence in intuitionistic fuzzy normed linear space (IFNLS) was introduced in (Debnath, 2012). As a continuation of this work, in the present paper, we introduce and study the new concept of s r I -statistical ...
Nabanita Konwar, Pradip Debnath
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New Perspectives on Generalised Lacunary Statistical Convergence of Multiset Sequences [PDF]
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 +2 more
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We investigate the stability of linear discrete-time control systems with a fuzzy logic feedback under sporadic sensor data loss. In our framework, each state measurement is a fuzzy number, and occasional “packet dropouts” are modeled by a lacunary ...
Muhammed Recai Türkmen +1 more
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Lacunary ℐ-Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces
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
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Ideal statistical convergence and ideal statistical Cauchy sequences in two normed spaces over non archimedean fields [PDF]
Let K be a complete, locally compact, non-trivially valued non-archimedean field. In this paper, Ideal- Statistical Convergence and Ideal Statistical Cauchy Sequences are defined and investigated in two normed spaces over ultra metric fields.
K. Suja, S. Sangeetha
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On statistical A $\mathfrak{A}$ -Cauchy and statistical A $\mathfrak{A}$ -summability via ideal
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
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ON GENERALIZATIONS OF WEAK STATISTICAL CONVERGENCE VIA IDEALS [PDF]
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
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Dynamic Load Balancing Strategy Based on Process Optimization in SDN [PDF]
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
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