The Binomial Almost Convergent And Null Sequence Spaces

In this paper, we introduce the sequence spaces f(Br;s), f0(Br;s) and fs(Br;s) which generalize the Kiri¸sÁiís work [16]. Moreover, we show that these spaces are BK-spaces and are linearly isomorphic to the sequence spaces f, f0 and fs, respectively. Furthermore, we mention the Schauder basis and give , -duals of these spaces. Finally, we determine some matrix classes related to these spaces

Almost convergent sequence spaces derived by the domain of quadruple band matrix

In this work, we construct the sequence spaces $f(Q(r,s,t,u))$, $f_0(Q(r,s,t,u))$ and $f_s(Q(r,s,t,u))$, where $Q(r,s,t,u)$ is quadruple band matrix which generalizes the matrices $Δ^{3}$, $B(r,s,t)$, $Δ^{2}$, $B(r,s)$ and $Δ$, where $Δ^{3}$, $B(r,s,t)$, $Δ^{2}$, $B(r,s)$ and $Δ$ are called third order difference, triple band, second order difference, double band and difference matrix, respectively. Also, we prove that these spaces are BK-spaces and are linearly isomorphic to the sequence spaces $f$, $f_0$ and $f_s$, respectively. Moreover, we give the Schauder basis and $β$-, $γ$-duals of those spaces. Lastly, we characterize some matrix classes related to those spaces

???? ??,?? (??) Dizi Uzayı Üzerine Bir Not

Bu çalışmada, Binom ve genelleştirilmiş fark(ikili band) matrislerinin kompozisyonu ile türetilen , ( ) dizi uzayı tanımlandı ve , ( ) uzayının 1 <= < ? durumlarında uzayına lineer olarak izomorfik olduğu gösterildi. Ayrıca, bazı kapsama bağıntılarından bahsedildi ve , ( ) uzayının Schauder bazı verildi. Bundan başka, , ( ) uzayının -, - ve -dualleri belirlendi. Son olarak, , ( ) uzayı ile ilgili bazı matris sınıfları karakterize edildi.In this study, we define the sequence space , ( ) derived by the composition of the Binomial matrix and generalized difference(double band) matrix and show that the space , ( ) is linearly isomorphic to the space , where ? < ?. Furthermore, we mention some inclusion relations and give Schauder basis , ( ). Moreover, we determine -, - and -duals of the space , ( ). Lastly, we characterize of the space some matrix classes related to the space , ( )e ???? ??,?? (??)

The binomial sequence spaces which include the spaces l(p) and l(infinity) and geometric properties

WOS: 000391729600001In this work, we introduce the binomial sequence spaces b(p)(r,s) and b(infinity)(r,s) which include the spaces l(p) and l(infinity), in turn. Moreover, we show that the spaces b(p)(r,s) and b(infinity)(r,s) are BK-spaces and prove that these spaces are linearly isomorphic to the spaces l(p) and l(infinity), respectively. Furthermore, we speak of some inclusion relations and give the Schauder basis of the space b(p)(r,s). Lastly, we determine the alpha-,beta-, and gamma-duals of those spaces and give some geometric properties of the space b(p)(r,s)