Matrix transformations on some sequence spaces related to strong Cesaro summability and boundedness

ALTAY B., Basar F., Malkowsky E.

APPLIED MATHEMATICS AND COMPUTATION, cilt.211, sa.2, ss.255-264, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 211 Sayı: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.amc.2009.01.062
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.255-264
  • Anahtar Kelimeler: Matrix domain in a sequence space, beta-Duals, Matrix transformations, DIFFERENCE-SEQUENCES, ORDER-M, INCLUDE, L(P)
  • İnönü Üniversitesi Adresli: Evet

Özet

The spaces a(0)(r)(Delta), a(c)(r)(Delta) and a(infinity)(r)(Delta) introduced by Aydin and Basar [ C. Aydin, F. Basar, Some new difference sequence spaces, Appl. Math. Comput. 157 (3) (2004) 677-693] can be considered as the matrix domains of a triangle in the sets of all sequences that are summable to zero, summable, and bounded by the Cesaro method of order 1. Here we de. ne the sets of sequences which are the matrix domains of that triangle in the sets of all sequences that are summable, summable to zero, or bounded by the strong Cesaro method of order 1 with index p >= 1. We determine the beta-duals of the new spaces and characterize matrix transformations on them into the sets of bounded, convergent and null sequences. (c) 2009 Elsevier Inc. All rights reserved.