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相关论文: Certain Aspects of Deferred Statistical Convergenc…

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Some types of statistical convergence such as statistical order and deferred statistical convergences have been studied and investigated in Riesz spaces, recently. In this paper, we introduce the concept of deferred statistical convergence…

泛函分析 · 数学 2022-09-30 Mehmet Küçükaslan , Abdullah Aydın

In this paper, we have defined rough convergence and rough statistical convergence of double sequences in probabilistic normed spaces which is more generalized version than the rough statistical convergence of double sequences in normed…

泛函分析 · 数学 2023-03-20 Rahul Mondal , Nesar Hossain

In this paper we introduce the notions of statistical convergence and statistical Cauchyness of sequences in a metric-like space. We study some basic properties of these notions

一般拓扑 · 数学 2024-07-11 Prasanta Malik , Saikat Das

We introduce and study deferred N\"{o}rlund statistical convergence in probability, mean of order $r,$ distribution, and study the interrelation among them. Based upon the proposed method to illustrate the findings, we present new Korovkin…

概率论 · 数学 2022-06-03 Kuldip Raj , Swati Jasrotia , Reza Saadati

In this paper we study some basic properties of strong A-statistical convergence and strong A-statistical Cauchyness of sequences in probabilistic metric spaces not done earlier. We also study some basic properties of strong A-statistical…

泛函分析 · 数学 2022-04-07 Prasanta Malik , Samiran Das

In this paper, we study the concept of Fibonacci statistical convergence on intuitionisitic fuzzy normed space. We define the Fibonacci statistically Cauchy sequences with respect to an intuitionisitic fuzzy normed space and introduce the…

综合数学 · 数学 2018-12-31 Murat Kirişci

We study the statistical convergence of metric valued sequences and of their subsequences. The interplay between the statistical and usual convergences in metric spaces is also studied.

泛函分析 · 数学 2012-03-13 M. Kuchukaslan , U. Deger , O. Dovgoshey

In this paper we study some basic properties of strong {\lambda}- statistical convergence of sequences in probabilistic metric (PM) spaces. We also introduce and study the notion of strong {\lambda}-statistically Cauchyness. Further…

泛函分析 · 数学 2020-07-21 Prasanta Malik , Samiran Das

In this paper, using the concept of natural density, we have introduced the ideas of statistical and rough statistical convergence in an $S$-metric space. We have investigated some of their basic properties. We have defined statistical…

一般拓扑 · 数学 2024-08-28 Sukila Khatun , Amar Kumar Banerjee

The purpose of this paper is to define statistically convergent sequences with respect to the metrics on generalized metric spaces (g-metric spaces) and investigate basic properties of this statistical form of convergence.

一般拓扑 · 数学 2021-03-10 Rasoul Abazari

The statistically unbounded $p$-convergence is an abstraction of the statistical order, unbounded order, and $p$-convergences. We investigate the concept of the statistically unbounded convergence on lattice-normed Riesz spaces with respect…

泛函分析 · 数学 2022-04-28 Abdullah Aydın

In this paper, using the concept of natural density, we have introduced the notion of rough statistical convergence which is an extension of the notion of rough convergence in a partial metric space. We have defined the set of rough…

一般拓扑 · 数学 2024-02-23 Sukila khatun , Amar Kumar Banerjee

A comprehensive convergence and stability analysis of some probabilistic numerical methods designed to solve Cauchy-type inverse problems is performed in this study. Such inverse problems aim at solving an elliptic partial differential…

数值分析 · 数学 2025-08-12 Iulian Cîmpean , Andreea Grecu , Liviu Marin

In this paper, we study some topological characteristics of the n-normed spaces. We observe convergence sequences, closed sets, and bounded sets in the n-normed spaces using norms of quotient spaces that will be constructed. These norms…

泛函分析 · 数学 2018-10-19 Harmanus Batkunde , Hendra Gunawan

Here we have introduced the idea of rough convergence of sequences in a cone metric space. Also it has been investigated how far several basic properties of rough convergence as valid in a normed linear space are affected in a cone metric…

度量几何 · 数学 2018-05-28 Amar Kumar Banerjee , Rahul Mondal

In this paper it were investigated the algebraic and topological properties of the space \mathscr{C}_f, which consists of convergent sequences of uncertain variable intervals. It was established that \mathscr{C}_f is a normed space with a…

泛函分析 · 数学 2025-09-23 Mehmet Şengönül

This paper introduces statistical order convergence and its pointwise variant for sequences of order bounded operators between Riesz spaces. We establish fundamental properties: uniqueness of the limit, stability under lattice operations,…

泛函分析 · 数学 2025-12-30 Abdullah Aydın , Erdal Bayram , İshak Aydın

Random matrix theory is a well-developed area of probability theory that has numerous connections with other areas of mathematics and its applications. Much of the literature in this area is concerned with matrices that possess many exact…

概率论 · 数学 2018-06-22 Ramon van Handel

In this paper we consider the notion of strong $I$-statistically pre-Cauchy double sequences in probabilistic metric spaces in line of Das et. al. [6] and introduce the new concept of strong $I^*$-statistically pre-Cauchy double sequences…

泛函分析 · 数学 2019-07-09 Prasanta Malik , Argha Ghosh , Manojit Maity

In this paper we have studied the notion of rough convergence of sequences in a partial metric space. We have also investigated how far several relevant results on boundedness, rough limit sets etc. which are valid in a metric space are…

一般拓扑 · 数学 2022-11-08 Amar Kumar Banerjee , Sukila Khatun
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