RIESZ TYPE INTEGRATED AND DIFFERENTIATED SEQUENCE SPACES

Kirisci M.

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.7, sa.2, ss.14-27, 2015 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 2
  • Basım Tarihi: 2015
  • Dergi Adı: BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.14-27
  • İstanbul Üniversitesi Adresli: Evet

Özet

Let integral bv and d(bv) denote the spaces of integrated and differentiated sequence spaces, which introduced by [4] and integral bv(R) and d(bv(R)) also be matrix domain of the Riesz mean in the sequence spaces integral by and d(bv). In this paper, some important properties of these spaces are studied and dual spaces of the spaces integral bv(R) and d(bv(R)) are determined. Finally, the classes (integral bv(R) : Y), (d(bv(R)) : Y), (Y : integral bv(R)) and (Y : (d(bv(R))) of infinite matrices are characterized, where Y is any given sequence space.