Some Tauberian theorems for Borel summability methods
Articles > Article · 2010
Authors: İbrahim ÇANAK, Umit Totur
APPLIED MATHEMATICS LETTERS, Journal Indexed in SCI Expanded, International, 2010, vol 23, pp 302-305
DOI: 10.1016/j.aml.2009.09.028
Summary
We investigate the conditions needed for a Borel summable sequence to be convergent. The results of this paper extend and improve the well-known result of Hardy and Littlewood (1913) [1]. (C) 2009 Elsevier Ltd. All rights reserved.