Composition of Cesàro and backward difference operators

Abstract

Abstract In this research, we combine the Cesàro and backward difference operators of different orders which results in introducing a matrix who has two different behaviors and includes several matrices. We also investigate the Köthe duals and inclusion relations of the associated sequence space of this new matrix. Moreover, we compute the norm of this matrix on some well-known sequence spaces.

Keywords

• Cesàro matrix
• Backward difference matrix
• Norm
• Sequence space