SOME NEW SEQUENCE SPACES DERIVED BY THE COMPOSITION OF BINOMIAL MATRIX AND DOUBLE BAND MATRIX

SÖNMEZ A.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, cilt.9, sa.1, ss.231-244, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.11948/2019.231
  • Dergi Adı: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.231-244
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this paper, we construct three new sequence spaces b(0)(r,s) (G), b(c)(r,s)(G) and b(infinity)(r,s) (G) and mention some inclusion relations, where G is generalized difference matrix. Moreover, we give Schauder basis of the spaces b(c)(r,s)(G) and b(c)(r,s)(G). Afterward, we determine alpha-, beta- and gamma-duals of those spaces. Finally, we characterize some matrix classes related to the space b(c)(r,s)(G).