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Some general Tauberian conditions for the weighted mean summability method
Authors:Ümi̇t Totur  İbrahi̇m Çanak
Affiliation:1. Department of Mathematics, Adnan Menderes University, 09010 Aydin, Turkey;2. Department of Mathematics, Ege University, 35100 Izmir, Turkey
Abstract:In this paper, we obtain some new Tauberian theorems for the weighted mean summability method via a weighted general control modulo analogous to the one defined by Dik [M. Dik, Tauberian theorems for sequences with moderately oscillatory control moduli, Math. Morav. 5 (2001) 57–94].
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