Scales of Logarithmic Methods of Summability
Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 445-452

Voir la notice de l'article provenant de la source Cambridge University Press

We suppose throughout that p is a non-negative integer, and use the following notations: where log0x = x for x ≥ e0 = 1, and logn+1x = log(lognx) for x ≥ en+1 = een (n = 0, 1, 2,...);
Borwein, D.; Phillips, R. Scales of Logarithmic Methods of Summability. Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 445-452. doi: 10.4153/CMB-1969-054-7
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[1] 1. Borwein, D., On methods of summability based on power series. Proc. Roy. Soc. Ed. 64 (1957) 342–349. Google Scholar

[2] 2. Hardy, G. H., Divergent Series (Oxford, 1949). Google Scholar

[3] 3. Ishiguro, K., On the summability methods of logarithmic type. Proc. Japan Acad. 38 (1962) 703–705. Google Scholar

[4] 4. Ishiguro, K., A tauberian theorem for (J, p) summability. Proc. Japan Acad. 40 (1964) 807–812. Google Scholar

[5] 5. Phillips, R., A tauberian theorem for a scale of logarithmic methods of summation. Proc. Cambridge Phil. Soc. (to be published). Google Scholar

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