Characterization of q-Ces`aro convergence for double sequences
DOI:
https://doi.org/10.24193/subbmath.2017.3.09Keywords:
Double sequences, Pringsheim convergence, the Buck-Pollard property, q-Cesàro matrices.Abstract
In the present paper we examine the Buck-Pollard property of 4- dimensional q-Cesàro matrices. Indeed we discuss some questions related to the q-Cesàro summability of subsequences of a given double sequence. The main re- sult states that “ a bounded double sequence is q-Cesàro summable to L if and only if almost all of its subsequences are q-Cesàro summable to 21−q L”.
Mathematics Subject Classification (2010): 40B05, 40C05, 28A12.
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