ON THE TAYLOR SEQUENCE SPACES OF NONABSOLUTE TYPE WHICH INCLUDE THE SPACES c(0) AND c

Kirisci, MURAT

ON THE TAYLOR SEQUENCE SPACES OF NONABSOLUTE TYPE WHICH INCLUDE THE SPACES c(0) AND c

JOURNAL OF MATHEMATICAL ANALYSIS, cilt.6, sa.2, ss.22-35, 2015 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 6 Sayı: 2
Basım Tarihi: 2015
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
Sayfa Sayıları: ss.22-35
İstanbul Üniversitesi-Cerrahpaşa Adresli: Hayır

Özet

Let T(r) denotes the Taylor method of order r such that r is an element of C/{0}. In this paper, we introduce Taylor sequence spaces t(0)(r) and t(c)(r) consisting of all sequences whose T(r)-transforms are in the spaces c(0) and c. We investigate some properties and compute alpha-, beta- and gamma-duals of these spaces. Afterwards, we characterize of some matrix classes of Taylor sequence spaces t(0)(r) and t(c)(r) and give Steinhaus type theorems.