Examples for the Theory of Infinite Iteration of Summability Methods
1977 ◽
Vol 29
(3)
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pp. 489-497
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Keyword(s):
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.
2018 ◽
Vol 50
(1)
◽
pp. 61-69
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1978 ◽
Vol 36
(1)
◽
pp. 492-493
2016 ◽
Vol 32
(3)
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pp. 204-214
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Keyword(s):
Keyword(s):
2019 ◽
Vol 3
(4)
◽
pp. 209-222
Keyword(s):