Characterization of q-Cesaro convergence for double sequences
DOI:
https://doi.org/10.24193/subbmath.2017.3.09Keywords:
Double sequences, Pringsheim convergence, the Buck-Pollard property, q-Ces\`{a}ro matricesAbstract
In the present paper we examine the Buck-Pollard property of 4-dimensional q-Ces\`{a}ro matrices. Indeed we discuss some questions related to the
q-Ces\`{a}ro summability of subsequences of a given double sequence. The
main result states that " a bounded double sequence is
q-Ces\`{a}ro summable to L if and only if almost all of its subsequences are q-Ces\`{a}ro summable to $2^{1-q}L".
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