Results 251 to 260 of about 311,740 (279)

On Generalized Statistically Convergent Functions via Ideals

Applied Mathematics & Information Sciences, 2016
In this paper, we introduce the notions of [V, ?]-summability and ?-statistical convergence of function by taking a nonnegative real-valued Lebesque measurable function in the interval (1, ?) and introduce new notions, namely, [V, ? ] (I)- summability, and I?-statistical convergence of function.
openaire   +2 more sources

A study of rough I-statistical convergence of order α

Filomat
The purpose of the present article is to introduce the idea of rough ideal statistical convergence of order ? of sequences in intuitionistic fuzzy normed spaces. In these spaces, we have defined the concepts of rough ideal statistical limit points, rough
Manpreet Kaur, Meenakshi Chawla, Reena Antal, M. Idrisi   +3 more
semanticscholar   +1 more source

Further results on I−deferred statistical convergence

Filomat
For a non-empty set X, an ideal I represents a family of subsets of X that is closed under taking finite unions and subsets of its elements. Considering X = N, in the present study, we set forth with the new notion of I?deferred statistical limit ...
C. Choudhury, S. Debnath, Ayhan Esi
semanticscholar   +1 more source

ON IDEAL CONVERGENCE OF SEQUENCES IN QUATERNION VALUED GENERALIZED METRIC SPACES

Journal of Mathematical Analysis
The primary objective of this study is to introduce the notion of ideal convergence in quaternion-valued generalized metric spaces. We define Iconvergence and I ∗-convergence in these spaces and establish their equivalence through the definition of ...
Omer Kisi, Burak Çakal, Mehmet Gurdal
semanticscholar   +1 more source

A study of spaces and mappings in the sense of ideal convergence

Filomat
The ideal convergence of sequences in topological spaces not only includes the usual convergence of sequences, but also extends the statistical convergence of sequences with strong applying background.
Xin Liu, Shou Lin, Xiangeng Zhou
semanticscholar   +1 more source

On Ideal Lacunary Statistical Convergence of Double Sequences in Neutrosophic Normed Spaces

Archana Sharma, Vijay Kumar, Inayat Rasool Ganaie, Nazneen Khan   +3 more
openalex   +2 more sources

On some properties of Fibonacci almost i-statistical convergence of fuzzy variables in credibility space

Boletim da Sociedade Paranaense de Matemática
This paper explores several concepts of ideal and almost convergence for sequences of fuzzy variables within the context of credibility theory. Focusing on Fibonacci almost I-statistical convergence, the study examines it from various perspectives ...
Omer Kisi, Mehmet Gurdal, Selim Çetin
semanticscholar   +1 more source

Some generalized statistical convergent sequence spaces of fuzzy numbers via ideals

Mathematical Sciences Letters, 2013
In this article we introduce the sequence spaces F c I(S) and F c I(S) 0 of fuzzy numbers defined by I-statistical convergence using a difference operator. We study some basic topological and algebraic properties of these spaces. We also investigate the relations related to this spaces and some of their properties viz.
Shyamal Debnath, Jayanta Debnath
openaire   +1 more source

Generalized I -statistical convergence of weight g for fuzzy numbers

Journal of Intelligent & Fuzzy Systems, 2019
The goal of this paper is to introduce the concept of λ-statistical convergence of weight g of fuzzy numbers by using ideal. In addition to this concept, some inclusion theorems are also presented.
E. Savaş
semanticscholar   +1 more source

Deffered rough $\mathcal{i}$-statistical convergence in $\mathcal{l}$-fuzzy normed spaces

Boletim da Sociedade Paranaense de Matemática
The present article devoted to explore the concept of deffered rough statistical convergence of sequences through ideals in $\mathcal{L}$-fuzzy normed spaces. We introduce the notions of deffered rough ideal statistical limit points, deffered rough ideal
Reena Antal, Manpreet Kaur, Meenakshi Chawla   +2 more
semanticscholar   +1 more source