Spaces of Ak-almost null and Ak-almost convergent sequences
Yesilkayagil, M., Basar, F. (2015). Spaces of Ak-almost null and Ak-almost convergent sequences. EKB Journal Management System, 23(1), 119-126. doi: 10.1016/j.joems.2014.01.013
Medine Yesilkayagil; Feyzi Basar. "Spaces of Ak-almost null and Ak-almost convergent sequences". EKB Journal Management System, 23, 1, 2015, 119-126. doi: 10.1016/j.joems.2014.01.013
Yesilkayagil, M., Basar, F. (2015). 'Spaces of Ak-almost null and Ak-almost convergent sequences', EKB Journal Management System, 23(1), pp. 119-126. doi: 10.1016/j.joems.2014.01.013
Yesilkayagil, M., Basar, F. Spaces of Ak-almost null and Ak-almost convergent sequences. EKB Journal Management System, 2015; 23(1): 119-126. doi: 10.1016/j.joems.2014.01.013

Spaces of Ak-almost null and Ak-almost convergent sequences

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Pages 119-126    PDF (531.99 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.01.013
Authors
Medine Yesilkayagil1; Feyzi Basar* 2
1Department of Mathematics, Usak University, 1 Eylu¨l Campus, 64200 Usak, Turkey
2Department of Mathematics, Fatih University, The Hadımko¨y Campus, Bu¨yu¨kekmece, 34500 Istanbul, Turkey
Abstract
In the present paper, by defining the notion of Ak-almost nullity and Ak-almost convergence of sequences we introduce the spaces Akðf0Þ and AkðfÞ of Ak-almost null and Ak-almost
convergent sequences. Moreover, we establish some inclusion relations concerning with those
spaces and determine the alpha-, beta- and gamma-duals of the space AkðfÞ. Finally, two basic
results on the characterization of the classes ðAkðfÞ : lÞ and ðl : AkðfÞÞ of infinite matrices are
given, and the characterizations of some other classes are also derived as an application of those
main results, where l is any given sequence space. 
Keywords
Almost convergence; Matrix domain; Sequence space; Lambda matrix; Alpha-, beta- and gamma-duals; Matrix transformation
Statistics
Article View: 50
PDF Download: 50