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ON q-HAUSDORFF MATRICES

2011    Selmanogullari, T.; Savas, E.; Rhoades, B. E.

The q-Hausdorff matrices are defined in terms of symbols from q-mathematics. The matrices become ordinary Hausdorrf matrices as q -> 1. In this paper, we consider the q-analogues of the Cesaro matrix of order one, both for 0 < q < 1 and q > 1, and obtain the lower bounds for these matrices for any 1 < p < infinity.