Two new sequence spaces generated by the composition of m th order generalized difference matrix and lambda matrix

Abstract

In this work, we introduce two sequence spaces c λ 0 (G m ) and c λ (G m ) generated by the composition of mth order generalized difference matrix and lambda matrix and define an isomorphism between new sequence spaces and classical sequence spaces. Afterward, we investigate inclusion relations and obtain the Schauder basis of those spaces. Furthermore, we determine their α-, β-and γ -duals. Lastly, we characterize some matrix classes related to those spaces. MSC: 40C05; 40H05; 46B45