A New Sequence Space b_pr,s(Q)

In this work, we introduce a new sequence space constructed wia the composition of quadruple band matrix and the binomial matrix. Where, we symbolize the quadruple band matrix with Q and the new sequence space defined with b_pr,s(Q) . We first show that the space b_pr,s(Q) is linearly isomorphic to the classical space lp and we examine several inclusion relations concerning this space. Moreover, we establish Schauder basis of the space b_pr,s(Q) and determine its the α−, β− and γ− duals. Lastly, we characterize certain matrix classes associated with the space b_pr,s(Q).