Some Notes On The Sequence Spaces l(p)(lambda)(G(m)) and l(infinity)(lambda) (G(m))

Bisgin M. C.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.30, sa.1, ss.381-393, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 1
  • Basım Tarihi: 2017
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.381-393
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

In this work, we introduce the sequence spaces l(p)(lambda) (G(m)) and l(infinity)(lambda) (G(m)) derived by the domain of the composition of m- th order generalized difference matrix and lambda matrix. Moreover, we determine some topological properties and examine inclusion relations related to these spaces. Furthermore, we give Schauder basis for the space l(p)(lambda) (G(m)). Finally, we determine alpha-, beta- and gamma-duals of the spaces l(p)(lambda) (G(m)) and l(infinity)(lambda) (G(m)).