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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
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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
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Generalized s r I  -statistical convergence in intuitionistic fuzzy normed linear space [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2018
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
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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New Definitions about A I -Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences

Axioms, 2018
In this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I -statistical ...
Ömer Kişi, Hafize Gümüş, Ekrem Savas   +2 more
doaj   +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

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

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

On two new types of statistical convergence and a summability method - doi: 10.4025/actascitechnol.v36i1.16206

Acta Scientiarum: Technology, 2014
In this paper, we introduce and investigate relationship among I-statistically Delta_r^s -convergent, I-lambda-statistically Delta_r^s-convergent and I-[V, lambda, Delta_r^s]-summable sequences respectively over normed linear ...
Hemen Dutta, Bokka Surender Reddy, Iqbal Hamzah Jebril   +2 more
doaj   +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