Title of article :
ON THE SPACES OF NÄORLUND NULL AND NÄORLUND CONVERGENT SEQUENCES
Author/Authors :
TUG, ORHAN Ishik University, Ishik Campus - Department of Mathematics Education, Iraq , BASAR, FEYZI Fatih University, Hadimkoy Campus - Department of Mathematics, Turkey
Abstract :
In this article, the sequence spaces c0(Nt) and c(Nt) are introduced as the domain of NÄorlund mean Nt in the spaces c0 and c of null and convergent sequences which are isomorphic to the spaces c0 and c, respectively, and some inclusion relations are given. Additionally, Schauder basis for the spaces c0(Nt) and c(Nt) are constructed and their alpha-, beta- and gamma-duals are computed. Finally, the classes (c(Nt) :(ell∞)), (c(Nt) : c) and (c(Nt) : c0) of matrix transformations are characterized.
Keywords :
matrix domain , spaces of convergent and null sequences , NÄorlund matrix , alpha , , beta , and gamma , duals and matrix transformations
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
