Results 81 to 90 of about 3,785,525 (200)

RHO statistical quası Cauchy sequences

, 2021
A sequence (a_k) of points in ℝ, the set of real numbers, is called ρ –statistically quasi Cauchy if/lim/below{n/rightarrow/infty}{/frac{1}{/rho_n}/left/left/{k/le n:/left/ a_k/right/geq/varepsilon/right/}/right=0}for each /varepsilon>0, where /rho=(/rho_n) is a non – decreasing sequence of positive real numbers tending to /infty such that, /lim ...
openaire   +1 more source

I-Statistical pre-Cauchy and frequent Cauchy criteria for compact sets in Hausdorff hyperspaces

Open Journal of Mathematical Sciences
In this paper, we study pairwise asymptotic criteria for sequences of compact sets in the Hausdorff hyperspace of a metric space. We introduce the notions of I-statistically pre-Cauchy and frequent Cauchy compact-set sequences and examine their relation ...
M. Gürdal, Ö. Kişi, S. Çetin
semanticscholar   +1 more source

Statistical convergence within octonion metric structures

Dera Natung Government College Research Journal
This paper investigates statistical convergence and completeness within the framework of octonion-valued metric spaces (OVMSs). By equipping the algebra of octonions with a suitable partial order, we extend classical notions of convergence, Cauchy ...
Selim Çetin, Ömer Kişi, Mehmet Gürdal   +2 more
doaj   +1 more source

Wijsman quasi-almost statistical Cauchy sequence [PDF]

, 2019
Bu araştırma makalesinde, küme değerli diziler için Wijsman quasi-hemen hemen istatistiksel Cauchy dizi kavramı tanıtıldı. Ayrıca, tanıtılan bu yeni kavram ile daha önceden küme değerli diziler için verilen Wijsman quasi-hemen hemen yakınsaklık ve ...
Gülle, Esra
core   +1 more source

Studies on λ-statistical convergence of sequences in generalized probabilistic metric spaces

Boletim da Sociedade Paranaense de Matemática
In this paper, we introduce the notion of λ-statistical convergence of sequences in probabilistic G-metric spaces. We study some basic properties of λ-statistical convergence of sequences.
Samiran Das, Argha Ghosh
semanticscholar   +1 more source

〖 Δ〗_kl- Statistical Convergence via Neutrosophic Normed Spaces for Double Sequences

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH
In this paper, we present the extension of ∆-statistically convergent and ∆-statistically Cauchy sequences via neutrosophic normed space (NNS) to double sequences.
B. Ahmadu, A. M. Brono
semanticscholar   +1 more source

On weak $I^K$-Cauchy sequences in normed spaces

, 2023
In this paper, we study on weak $I^K$-Cauchy condition as a generalization of weak $I^*$-Cauchy condition in a normed space. We investigate the relationship between weak $I$-Cauchy and weak $I^K$-Cauchy sequences using $AP(I,K)$-condition.
Paul, Mahendranath, Banerjee, Amar Kumar
core  

I_2-Convergence and I_2-Cauchy double sequences [PDF]

, 2014
In this article, we prove a decomposition theorem for I2-convergent double sequences and introduce the notions of I2-Cauchy and I 2 -Cauchy double sequence, and then study their certain properties.
Altay, Bilal, Dündar, Erdinç
core   +1 more source

$\sigma$-Invariant Cauchy and statistically $\sigma$-Invariant Cauchy sequences

Malaya Journal of Matematik
In most theories of convergence, it is highly desirable to have criteria that allow the verification of convergence without explicitly requiring the limit's value. In the context of invariant convergence, the notion of an invariant Cauchy sequence becomes essential.
openaire   +1 more source

On statistical convergence in quasi-metric spaces

Demonstratio Mathematica, 2019
A quasi-metric is a distance function which satisfies the triangle inequality but is not symmetric in general. Quasi-metrics are a subject of comprehensive investigation both in pure and applied mathematics in areas such as in functional analysis ...
İlkhan Merve, Kara Emrah Evren
doaj   +1 more source