Characterization of q-Cesaro convergence for double sequences
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In the present paper we examine the Buck-Pollard property of 4 dimensional q-Cesaro matrices. Indeed we discuss some questions related to the q-Cesaro summability of subsequences of a given double sequence. The main result states that "a bounded double sequence is q-Cesaro summable to L if and only if almost all of its subsequences are q-Cesaro summable to 2(1-q) L".