Article detail · 2025
Deferred statistical convergence of sequences in octonion-valued metric spaces
Journal
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and StatisticsISSN 1303-5991
- Year
- 2025
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
By employing octonions, which offer a higher-dimensional and non-associative algebraic structure, octonion-valued metric spaces generalize conventional metric spaces. Every ring forms a module over itself, and every field forms a vector space over itself, as is commonly known. It should be noted, nevertheless, that octonions do not form a module over themselves and so cannot even be regarded as a ring because they lack the multiplicative union condition. The metric spaces we have defined and the findings produced in these spaces are very intriguing because of this aspect. Consequently, various conclusions pertaining to summability theory are examined utilizing some essential concepts associated with these mathematical structures. In particular, we present the concepts of deferred statistical convergence and deferred strong Cesàro summability in octonion-valued metric spaces and explore the connections between them. Additionally, we introduce and discuss the concepts of strong deferred invariant convergence, deferred invariant convergence in octonion-valued metric spaces, and deferred invariant statistical convergence.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
4 citations
OpenAlex cited_by_count (cache / database)
7 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Strongly Statistical Convergence of Order \alpha in Metric Spaces 2026
- Deferred Epigraphical Convergence for Sequences of Lower Semicontinuous Functions 2026
- Statistical convergence within octonion metric structures 2025
- ON GENERALIZED CONVERGENT TRIPLE SEQUENCES OF ORDER ro IN TRUST 2025
- On the Bivariate Lacunary Statistical Convergence of Order ϖ in Rough Set Theory 2025
- Statistical Convergence within Octonion Metric Structures 2025
- Octonion valued b-metric spaces and ideal convergence 2025