We introduce a one-sided Tauberian condition in terms of the weighted general control modulo oscillatory behavior of the integer order m with m ≥ 1 for the power-series summability method.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 12, pp. 1701–1713, December, 2017.
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Totur, Ü., Çanak, İ. A Tauberian Theorem for the Power-Series Summability Method. Ukr Math J 69, 1981–1996 (2018). https://doi.org/10.1007/s11253-018-1482-3
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DOI: https://doi.org/10.1007/s11253-018-1482-3