ON $q$-HAUSDORFF MATRICES

Source abstract

The q-Hausdorff matrices are defined in terms of symbols from q-mathematics. The matrices become ordinary Hausdorrf matrices as $q \rightarrow 1$. In this paper, we consider the q-analogues of the Cesàro matrix of order one, both for $0 \lt q \lt 1$ and $q \gt 1$, and obtain the lower bounds for these matrices for any $1 \lt p \lt \infty$.