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Extended Tauberian Theorem for the weighted mean Method of Summability

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Ukrainian Mathematical Journal Aims and scope

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.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 7, pp. 928–935, July, 2013.

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Çanak, Ï., Totur, Ü. Extended Tauberian Theorem for the weighted mean Method of Summability. Ukr Math J 65, 1032–1041 (2013). https://doi.org/10.1007/s11253-013-0839-x

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  • DOI: https://doi.org/10.1007/s11253-013-0839-x

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