Geodesic
Examples for the Theory of Infinite Iteration of Summability Methods
Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 489-497

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

Garten and Knopp [7] introduced the notion of infinite iteration of Césaro (C1 ) averages, which they called H∞ summability. Flehinger [6] (apparently unaware of [7]) produced the first nontrivial example of an H∞ summable sequence: the sequence {ai } ∞i=1 where at is 1 or 0 as the lead digit of the integer i is one or not. Duran [2] has provided an elegant treatment of H∞ summability as a special case of summability with respect to an ergodic semigroup of transformations. 
Diaconis, Persi. Examples for the Theory of Infinite Iteration of Summability Methods. Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 489-497. doi: 10.4153/CJM-1977-053-1
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