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.
Yesilkayagil, M., & Basar, F. (2015). Spaces of Ak-almost null and Ak-almost convergent sequences. Journal of the Egyptian Mathematical Society, 23(1), 119-126. doi: 10.1016/j.joems.2014.01.013
MLA
Medine Yesilkayagil; Feyzi Basar. "Spaces of Ak-almost null and Ak-almost convergent sequences", Journal of the Egyptian Mathematical Society, 23, 1, 2015, 119-126. doi: 10.1016/j.joems.2014.01.013
HARVARD
Yesilkayagil, M., Basar, F. (2015). 'Spaces of Ak-almost null and Ak-almost convergent sequences', Journal of the Egyptian Mathematical Society, 23(1), pp. 119-126. doi: 10.1016/j.joems.2014.01.013
VANCOUVER
Yesilkayagil, M., Basar, F. Spaces of Ak-almost null and Ak-almost convergent sequences. Journal of the Egyptian Mathematical Society, 2015; 23(1): 119-126. doi: 10.1016/j.joems.2014.01.013
)
View on SCiNiTO