Published online by Cambridge University Press: 20 November 2018
Garten and Knopp  introduced the notion of infinite iteration of Césaro (C1 ) averages, which they called H ∞ summability. Flehinger  (apparently unaware of ) 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  has provided an elegant treatment of H ∞ summability as a special case of summability with respect to an ergodic semigroup of transformations.
Full text views reflects PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views.