Functions preserving slowly oscillating double sequences
Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica, cilt.2, sa.F2, ss.531-536, 2016 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2 Sayı: F2
- Basım Tarihi: 2016
- Dergi Adı: Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.531-536
- Anahtar Kelimeler: Continuity and related questions, Matrix methods, Multiple sequences and series
- Maltepe Üniversitesi Adresli: Evet
Özet
A double sequence x = {xk,l} of points in R is slowly oscillating if for any given ε > 0, there exist α = α(ε) > 0, δ = δ(ε) > 0, and N = N(ε) such that |xk,l − xs,t| < ε whenever k, l ≥ N(ε) and k ≤ s ≤ (1 + α)k, l ≤ t ≤ (1 + δ)l. We study continuity type properties of factorable double functions defined on a double subset A × A of R2 into R, and obtain interesting results related to uniform continuity, sequential continuity, and a newly introduced type of continuity of factorable double functions defined on a double subset A × A of R2 into R.