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Abstract
Recently, the concept of weighted generator sequence has been introduced by Çanak and Totur [Comput. Math. Appl. 62 (2011), no. 6, 2609–2615]. They proved that certain conditions in terms of weighted generator sequences are Tauberian conditions for the weighted mean method. In this paper, we present the necessary and sufficient Tauberian conditions based on a weighted generator sequence under which statistical convergence follows from statistical summability by weighted means.
Received: 2013-1-12
Accepted: 2013-5-29
Published Online: 2014-11-6
Published in Print: 2014-12-1
© 2014 by De Gruyter
