Some Notes on the New Sequence Space 𝒃𝒑𝒓𝒔(𝑫)

SÖNMEZ A.

Gazi University Journal of Science, cilt.33, sa.2, ss.476-490, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.35378/gujs.522691
  • Dergi Adı: Gazi University Journal of Science
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.476-490
  • Anahtar Kelimeler: Matrix transformation, Matrix domain, Schauder basis, alpha-, beta- and gamma-duals, INCLUDE, L(P)
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this paper, we describe the sequence space b(p)(r,s)(D) originated by the composition of the Binomial matrix and generalized second order difference (triple band) matrix and indicate that the space b(p)(r,s)(D) is linearly isomorphic to the space l(p), where 1 <= p < infinity. Moreover, we obtain some inclusion relations and Schauder basis of the space b(p)(r,s)(D). We also pinpoint alpha-, beta- and gamma-duals of the space b(p)(r,s)(D) Finally, we classify some matrix classes related to the space b(p)(r,s)(D).