Geodesic
A Tauberian Theorem Concerning Borel-Type and Cesàro Methods of Summability
Canadian journal of mathematics, Tome 40 (1988) no. 1, pp. 228-247

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

Suppose throughout that r ≧ 0, α > 0, αq + β > 0 where q is a non-negative integer. Let {sn } be a sequence of real numbers, The Borel-type summability method (B, α, β) is defined as follows: The method (B, α, β) is regular [5]; and (B, 1, 1) is the standard Borel exponential method B. For a real sequence {sn } we consider the slowly decreasing-type Tauberian condition We shall also be concerned with the Cesàro summability method Cp (p > —1), the Valiron method Vα , and the Meyer-König method Sa (0 < a < 1) defined as follows: 
Borwein, David; Markovich, Tom. A Tauberian Theorem Concerning Borel-Type and Cesàro Methods of Summability. Canadian journal of mathematics, Tome 40 (1988) no. 1, pp. 228-247. doi: 10.4153/CJM-1988-010-4
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