A NOTE ON FOUR DIMENSIONAL SUMMABILITY METHODS
Korean Journal of Mathematics, cilt.32, sa.4, ss.629-637, 2024 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 32 Sayı: 4
- Basım Tarihi: 2024
- Doi Numarası: 10.11568/kjm.2024.32.4.629
- Dergi Adı: Korean Journal of Mathematics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.629-637
- Anahtar Kelimeler: n -*oc, Key words and phrases: Double sequence, Pringsheim convergence, Four dimensional summability
- Uşak Üniversitesi Adresli: Evet
Özet
Ishiguro studied some two dimensional summability methods in [7]. In this paper, we define the four dimensional Zweier matrix and extend the results given by Ishiguro [7] to four dimensional summability methods. We prove that an Abel summable double sequence is also summable the product of Abel and Zweier methods to the same limit. Besides this, we show the four dimensional Riesz and Zweier methods don’t imply each other. In addition, we emphasize the four dimensional Zweier method implies the four dimensional Borel method.