RESULTS ON QUASI-STATISTICAL LIMIT AND QUASI-STATISTICAL CLUSTER POINTS

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Ozguc I.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.69, sa.1, ss.646-653, 2020 (ESCI, TRDizin)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 69 Sayı: 1
• Basım Tarihi: 2020
• Doi Numarası: 10.31801/cfsuasmas.567734
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.646-653
• Anahtar Kelimeler: Statistical convergence, quasi-statistical convergence, quasi-statistical limit points, quasi-statistical cluster points
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Ankara Üniversitesi Adresli: Evet

Özet

In this paper we introduce the concepts of quasi-statistical limit point and quasi-statistical cluster point of a sequence. We give some inclusion results concerning these concepts. We also give the relationship between the Knopp core and quasi-statistical core of a sequence. Finally we state some theorems which deal with quasi-summability and quasi-statistical convergence of a sequence under some assumptions.