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Authors: EMRE TAŞ, CIHAN ORHAN.
DOI: 10.24193/subbmath.2017.3.09
Published Online: 2017-09-30
Published Print: 2017-09-30
pp. 367-376
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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 result 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-qL".
Keywords: double sequences, Pringsheim convergence, the Buck-Pollard property, q-Cesàro matrices.
Mathematics Subject Classification (2010): 40B05, 40C05, 28A12.
