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, ss.255-264, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 211 Konu: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.amc.2009.01.062
  • Sayfa Sayıları: ss.255-264


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.