Regular variation and almost A-statistical convergence
Yazarlar (4)
Prof. Dr. Kamil DEMİRCİ Sinop Üniversitesi, Türkiye
Prof. Dr. Fadime DİRİK Sinop Üniversitesi, Türkiye
Ljubisa Kocinac
Doç. Dr. Sevda YILDIZ Sinop Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
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| Dergi Adı | Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan | ||
| Dergi ISSN | 2409-4986 Dergi Bilgileri (2026) | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2026 |
| Makale Linki | https://proc.imm.az/inpress/pimm0326.pdf | ||
| UAK Araştırma Alanları |
Fen Bilimleri ve Matematik
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| Özet |
| This paper introduces the theory of almost A− statistical regular variation for sequences of positive real numbers. The central classes ASRVs, and ASTr (RVs) are defined and their fundamental properties are established. A key decomposition theorem characterizes sequences that are almost A− statistically regularly varying as sums of sequences that converge classically and are asymptotically small. We also prove the equivalence between strong almost A− summable regular variation and statistical regular variation for RV-bounded sequences and provide characterizations via exponential representations and limit superior/inferior conditions. Our results extend classical regular variation theory systematically to the setting of almost A− statistical convergence. |
| Anahtar Kelimeler |
