Some geometric properties of a new difference sequence space defined by de la Vallee-Poussin mean

Et M., Karakas M., KARAKAYA V.

APPLIED MATHEMATICS AND COMPUTATION, cilt.234, ss.237-244, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 234
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.amc.2014.01.122
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.237-244
  • Anahtar Kelimeler: Cesaro difference sequence space, Luxemburg norm, Banach Saks property, Convex modular, Property (H), CESARO
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, wedefine a new generalized difference sequence space C-(p) Delta(m)(lambda) and consider it equipped with the Luxemburg norm under which it is a Banach space and we show that the space C-(p) Delta(m)(lambda) possess Banach Saks property of type p, uniform opial property and property (H), where p = (p(n)) is a bounded sequence of positive real numbers with pn > 1 for all n is an element of N. Also, we give some results about the fixed point theory for the spaces C-(p) D m d and C-p(Delta(m)) d (1