Geodesic
An extension of a theorem on the equivalence between absolute Rieszian and absolute Cesàro summability
Glasgow mathematical journal, Tome 4 (1959) no. 2, pp. 81-83

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be a given series and letWith Flett [4], we say that the series is summable , q real, ifwhere Summability |C, k, 0|1 is identical with absolute Cesàro summability (C, k), or summability |C, k|, as defined by Fekete [3]. 
Borwein, D. An extension of a theorem on the equivalence between absolute Rieszian and absolute Cesàro summability. Glasgow mathematical journal, Tome 4 (1959) no. 2, pp. 81-83. doi: 10.1017/S2040618500033918
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[1] 1.Boyd, A. V. and Hyslop, J. M., A definition for strong Rieszian summability and its relationship to strong Cesàro summability, Proc. Glasgow Math. Assoc., 1 (1952–1953), 94–99. Google Scholar

[2] 2.Hyslop, J. M., On tho absolute summability of series by Rieszian means, Proc. Edinburgh Math. Soc., 5 (1937–1938), 46–54. Google Scholar

[3] 3.Fekete, M., Vizsgálatok az absolut summabilis sorokrol, alkalmazással a Direchlet-és Fourier- sorokra, Math, és Termész. Ért., 32 (1914), 389–425. Google Scholar

[4] 4.Flett, T. M., Some more theorems concerning the absolute summability of Fourier series and power series, Proc. London Math. Soc., (3), 8 (1958), 357–387. Google Scholar

[5] 5.Obreschkoff, N., Sur la sommation absolue des séries de Dirichlet, Comptes Rendus, 186 (1928), 215. Google Scholar

[6] 6.Obreschkoff, N., Über die absolute Summierung der Dirichletschen Reihen, Math. Z. 30 (1929), 375–386. Google Scholar | DOI

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