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We explore some convergence notions for set-convergence coming from modern summability methods. Specifically we will see the connections between Wijsman $f$-statistical convergence and Wijsman $f$-strong Ces\`aro convergence, when $f$ is a…

Functional Analysis · Mathematics 2023-07-06 Maria del Pilar Romero de la Rosa

In this article, we study about the $\lambda$-statistical convergence with respect to the density of moduli and find some results related to statistical convergence as well. Also we introduce the concept of $f_\lambda$-summable sequence and…

Functional Analysis · Mathematics 2016-03-31 Stuti Borgohain , Ekrem Savas

We study the concept of density for sets of natural numbers in some lacunary $A$-convergent sequence spaces. Also we are trying to investigate some relation between the ordinary convergence and module statistical convergence for evey…

Functional Analysis · Mathematics 2015-09-30 Ekrem Savas , Stuti Borgohain

In this paper, we extend the notions of statistically convergence of order $\beta $ and strong Ces\`{a}ro summability of order $\beta ,$ and introduce the notions $f-$statistically convergence of order $\beta $ and strong Ces\`{a}ro…

Functional Analysis · Mathematics 2016-08-29 Hifsi Altinok , Mithat Kasap

Here we fully complete the studies initiated by Vinod K. Bhardwaj and Shweta Dhawan in \cite{hindawi} which relate different convergence methods which involves the classical statistical and the classical strong Ces\`aro convergences by…

Functional Analysis · Mathematics 2023-02-22 María del Pilar Romero de la Rosa

The main purpose of this paper is to introduce the concepts of Wijsman $C_{\lambda}$ statistical convergence, Wijsman $C_{\lambda}$ summability and Wijsman $\mathcal{I}$-$C_{\lambda}$ summability for sequence of sets by using submethod.…

Functional Analysis · Mathematics 2020-03-26 İ. Dağadur , Ş. Sezgek

In this paper, We have introduced a new class of sequences of fuzzy numbers defined by using modulus function and generalized weighted mean over the class defined in \cite{OS}. We have proved that this class form a quasilinear complete…

General Mathematics · Mathematics 2016-02-12 Sarita Ojha , P. D. Srivastava

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…

General Topology · Mathematics 2024-02-23 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.

General Topology · Mathematics 2021-03-10 Rasoul Abazari

This article introduces moduli spaces of coloured graphs on which Feynman amplitudes can be viewed as 'discrete' volume densities. The basic idea behind this construction is that these moduli spaces decompose into disjoint unions of open…

Mathematical Physics · Physics 2020-08-17 Marko Berghoff

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…

Functional Analysis · Mathematics 2022-04-07 Prasanta Malik , Samiran Das

We provide quantitative convergence results for continuous-time dynamical systems in metric spaces that satisfy a continuous-time analog of quasi-Fej\'er monotonicity. More precisely, we provide a (strong) convergence result for such…

Optimization and Control · Mathematics 2026-03-26 Anton Freund , Nicholas Pischke

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…

General Topology · Mathematics 2024-08-28 Sukila Khatun , Amar Kumar Banerjee

The present study introduces the notions of statistical convergence of order $\alpha$ and strong $p-$ Ces\`{a}ro summability of order $\alpha$ in partial metric spaces. Also, we examine the inclusion relations between these concepts. In…

General Mathematics · Mathematics 2023-04-06 Erdal Bayram , Çiğdem Bektaş , Yavuz Altın

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

General Topology · Mathematics 2024-07-11 Prasanta Malik , Saikat Das

In this article our main object of investigation is the simple modular density ideals $\mathcal{Z}_g(f)$ introduced in [Bose et al., Indag. math., 2018] where $g$ is a weight function, more precisely, $g\in G$, $G=\{g:\omega \to…

General Topology · Mathematics 2025-05-06 Pratulananda Das , Subhankar Das

We consider a sequence of identically independently distributed random samples from an absolutely continuous probability measure in one dimension with unbounded density. We establish a new rate of convergence of the $\infty-$Wasserstein…

Probability · Mathematics 2018-08-03 Anning Liu , Jian-Guo Liu , Yulong Lu

The concept of statistical convergence based on asymptotic density is introduced in this article through nets. Some possible extensions of classical results for statistical convergence of sequences are obtained in this article, with…

General Topology · Mathematics 2019-07-02 AR. Murugan , J. Dianavinnarasi , C. Ganesa Moorthy

The statistical convergence is defined for sequences with the asymptotic density on the natural numbers, in general. In this paper, we introduce the statistical convergence for nets in Riesz spaces by using the finite additive measures on…

Functional Analysis · Mathematics 2021-05-19 Abdullah Aydın , Fatih Temizsu

In this paper we introduce the concept of modulus of regularity as a tool to analyze the speed of convergence, including the finite termination, for classes of Fej\'er monotone sequences which appear in fixed point theory, monotone operator…

Optimization and Control · Mathematics 2018-06-05 Ulrich Kohlenbach , Genaro López-Acedo , Adriana Nicolae
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