Canak, Ibrahim2019-10-272019-10-2720110898-12210898-1221https://doi.org/10.1016/j.camwa.2010.11.017https://hdl.handle.net/11454/44964In this paper, we show under which conditions a generator sequence is convergent. We also give a Tauberian theorem for Cesaro summability as a special case. (C) 2010 Elsevier Ltd. All rights reserved.en10.1016/j.camwa.2010.11.017info:eu-repo/semantics/openAccessSlow oscillationCesaro summabilityGenerator sequenceDe la Vallee Poussin meansTauberian conditions and theoremsArticle612408411WOS:000287553400026N/AQ1