Journal article

Publication year: 2009

Pages: 255-264

Journal: Applied Mathematics and Computation

Volume number: 211

Issue number: 2

ISSN: 0096-3003

eISSN: 1873-5649

DOI Link: https://doi.org/10.1016/j.amc.2009.01.062

Publisher: Elsevier

Abstract: 
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.

Harvard Citation style: Altay, B., Basar, F. and Malkowsky, E. (2009) Matrix transformations on some sequence spaces related to strong Cesaro summability and boundedness, Applied Mathematics and Computation, 211(2), pp. 255-264. https://doi.org/10.1016/j.amc.2009.01.062

APA Citation style: Altay, B., Basar, F., & Malkowsky, E. (2009). Matrix transformations on some sequence spaces related to strong Cesaro summability and boundedness. Applied Mathematics and Computation. 211(2), 255-264. https://doi.org/10.1016/j.amc.2009.01.062