A new variation on statistical ward continuity

2017/11/29 by Hüseyi̇n Çakallı, Cakalli, Huseyin
Health Professions · #26A15 #40A05 #40A30 #40A35 #40D25 #FOS: Mathematics #Functional Analysis (math.FA) #Healthcare Operations and Scheduling Optimization

paper · pdf · doi:10.48550/arxiv.1711.10702

openalex publication_date 2017/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A real valued function defined on a subset E of ℝ, the set of real numbers, is ρ-statistically downward continuous if it preserves ρ-statistical downward quasi-Cauchy sequences of points in E, where a sequence (α_k) of real numbers is called ρ-statistically downward quasi-Cauchy if lim_n→∞\frac1ρ_n |\k≤ n: Δα_k ≥ ε\|=0 for every ε>0, in which (ρ_n) is a non-decreasing sequence of positive real numbers tending to ∞ such that \limsup _n \fracρ_nn

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