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Domain of q-Cesàro matrix in Hahn sequence space hd and the space bv of the sequences of bounded variation

Domain of q-Cesàro matrix in Hahn sequence space hd and the space bv of the sequences of bounded variation

Let hd = n f = (fk) ? ? : P k dk| fk ? fk+1| < ? o ? c0, where d = (dk) is an unbounded and monotonic increasing sequence of positive reals. We study the matrix domains hd(Cq) = (hd)Cq and bv(Cq)=(bv)Cq, where Cq is the q-Ces?ro …