@article{Çanak_Totur_2013, title={Extended Tauberian Theorem for the weighted mean Method of Summability}, volume={65}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2478}, abstractNote={We prove a new Tauberian-like theorem. For a real sequence <em class="a-plus-plus">u</em> = (<em class="a-plus-plus">u</em> <sub class="a-plus-plus"> <em class="a-plus-plus">n</em> </sub>), on the basis of the weighted mean summability of its generator sequence (<em class="a-plus-plus">V</em> <sup class="a-plus-plus">(0)</sup> <sub class="a-plus-plus"> <em class="a-plus-plus">n,p</em> </sub>(∆<em class="a-plus-plus">u</em&gt;)) and some other conditions, this theorem establishes the property of slow oscillation of the indicated sequence.}, number={7}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={ÇanakІ. and Totur, Ü.}, year={2013}, month={Jul.}, pages={928–935} }