Extended Tauberian Theorem for the weighted mean Method of Summability
Abstract
We prove a new Tauberian-like theorem. For a real sequence u = (u n ), on the basis of the weighted mean summability of its generator sequence (V (0) n,p (∆u)) and some other conditions, this theorem establishes the property of slow oscillation of the indicated sequence.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 7, pp 1032-1041.
Citation Example: Çanak І., Totur Ü. Extended Tauberian Theorem for the weighted mean Method of Summability // Ukr. Mat. Zh. - 2013. - 65, № 7. - pp. 928–935.
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