On the spaces of Cesaro absolutelyp-summable, null, and convergent sequences

Roopaei H., Basar F.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.44, sa.5, ss.3670-3685, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 5
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/mma.6973
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.3670-3685
  • Anahtar Kelimeler: backward difference operator, Cesaro matrix, Hausdorff matrix, Hilbert matrix, matrix operator, sequence space, MATRIX TRANSFORMATIONS, LOWER BOUNDS, L(P)
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, we investigate some properties of the domainsc(0)(C-n),c(C-n), andl(p)(C-n)with0 < p < 1of the Cesaro matrix of ordernin the classical spacesc(0),c, andl(p)of null, convergent, and absolutelyp-summable sequences, respectively, and compute the alpha-,beta-, and gamma-duals of these spaces. We characterize the classes of infinite matrices from the spacel(p)(C-n)to the spacesl(infinity),c, andc(0)and from a normed sequence spaces to the sequence spacesc(0)(C-n),c(C-n), andl(p)(C-n). Moreover, we compute the lower bound of operators froml(p)intol(p)(C-n), froml(p)(C-n)intol(p)and froml(p)(C-n)into itself.