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G. H. Hardy, Divergent Series, Oxford Univ. Press (1949).
N. A. Davydov, “On a property of Cesaro methods for summation of series,” Mat. Sb.,38, No. 4, 509–524 (1956).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol, 29, No. 2, pp. 194–203, March–April, 1977.
In conclusion, the authors thank N. A. Davydov for his interest, and V. I. Mel'nik for suggestions enabling the proof of Theorem 1 to be somewhat shortened.
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Mikhalin, G.A., Teslenko, L.S. A property of a class of (¯R, Pn,α) methods for summation of series and Tauberian theorems. Ukr Math J 29, 145–152 (1977). https://doi.org/10.1007/BF01089240
- Tauberian Theorem