We introduced and investigated the sequence space lambda (Xk,r,f,s) defined by a modulus function f, and constructed its FK-structure under some conditions. Also we exposed some inclusion relations among the variations of the space.
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Recall that a Clambda method is obtained by deleting a set of rows from the Cesaro matrix C1. In this paper we study the (strongly) Clambda-conull FK-spaces and give some characterizations. We also apply these results to summability domains.
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