Totur, UmitCanak, Ibrahim2019-10-272019-10-2720170354-51800354-5180https://doi.org/10.2298/FIL1707167Thttps://hdl.handle.net/11454/32935We introduce a new concept which is called a regularly weighted generated sequence for sequences of real numbers. Moreover, we obtain some Tauberian conditions in terms of regularly weighted generated sequences for the power series method of summability, and generalize some classical Tauberian theorems given by Tietz [Acta Sci. Math. 54 (3-4) 355-365 (1990)].en10.2298/FIL1707167Tinfo:eu-repo/semantics/closedAccessTauberian theoremsTauberian conditionsregularly weighted generated sequencesslowly oscillating sequencesslowly decreasing sequencesArticle31721672173WOS:000404362000033N/AQ3