A Tauberian Theorem Concerning Borel-Type and Riesz Summability Methods
Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 14-20
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It is proved that the summability of a series by the Borel-type summability method (B,α,β) together with a certain Tauberian condition implies its summability by the Riesz method (R, log(n + l),p).
Borwein, David. A Tauberian Theorem Concerning Borel-Type and Riesz Summability Methods. Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 14-20. doi: 10.4153/CMB-1992-002-4
@article{10_4153_CMB_1992_002_4,
author = {Borwein, David},
title = {A {Tauberian} {Theorem} {Concerning} {Borel-Type} and {Riesz} {Summability} {Methods}},
journal = {Canadian mathematical bulletin},
pages = {14--20},
year = {1992},
volume = {35},
number = {1},
doi = {10.4153/CMB-1992-002-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-002-4/}
}
TY - JOUR AU - Borwein, David TI - A Tauberian Theorem Concerning Borel-Type and Riesz Summability Methods JO - Canadian mathematical bulletin PY - 1992 SP - 14 EP - 20 VL - 35 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-002-4/ DO - 10.4153/CMB-1992-002-4 ID - 10_4153_CMB_1992_002_4 ER -
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