On the statistical convergence of metric-valued sequences

DOI10.1007/s11253-014-0974-zzbMath1325.40008arXiv1203.2584OpenAlexW2118491201MaRDI QIDQ2260848

Uǧur Deǧer, Mehmet Küçükaslan, Aleksey A. Dovgoshey

Publication date: 12 March 2015

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2584

zbMATH Keywords

convergencestatistical convergencemetric-valued sequencesstatistically dense

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Ideal and statistical convergence (40A35) Summability in abstract structures (40J05)

Related Items (12)

Deferred statistical convergence of order \(\alpha\) in metric spaces ⋮ On the Space of Real Valued Statistically Convergent Sequences ⋮ df-statistical convergence in connection with a modulus in metric spaces ⋮ Statistical extension of bounded sequence space ⋮ $$\lambda _{d}$$ -Statistical Convergence, $$\lambda _{d}$$ -statistical Boundedness and Strong $$\left( V,\lambda \right) _{d}-$$ summability in Metric Spaces ⋮ Unnamed Item ⋮ On generalized statistical and ideal convergence of metric-valued sequences ⋮ Unnamed Item ⋮ On statistical convergence in quasi-metric spaces ⋮ A new type of statistical Cauchy sequence and its relation to Bourbaki completeness ⋮ Korovkin-type theorems and their statistical versions in grand Lebesgue spaces ⋮ On generalized statistical convergence and boundedness of Riesz space-valued sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isometric embeddings of pretangent spaces in \( E^n\)
• Geodesic spaces tangent to metric spaces
• Tauberian theorems via statistical convergence
• Lectures on analysis on metric spaces
• Ultrametricity and metric betweenness in tangent spaces to metric spaces
• A reduction principle for obtaining Tauberian theorems for statistical convergence in metric spaces
• Metric spaces with unique pretangent spaces. Conditions of the uniqueness
• A MATRIX CHARACTERIZATION OF STATISTICAL CONVERGENCE
• ON STATISTICAL CONVERGENCE
• A Measure Theoretical Subsequence Characterization of Statistical Convergence
• Sur la convergence statistique
• Convergence and summability properties of subsequences
• Metric spaces, convexity and nonpositive curvature

This page was built for publication: On the statistical convergence of metric-valued sequences