The moments of weighted Cantor measures obey an infinite-product generating function, decay no faster than a power when the largest digit has positive weight, and can be estimated to uniform error epsilon in near-linear time.
S., Mock fourier series and transforms associated with certain cantor measures, Journal d’Analyse Math´ ematique, 2000, 81, 209-238
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Moments of the weighted Cantor measures
The moments of weighted Cantor measures obey an infinite-product generating function, decay no faster than a power when the largest digit has positive weight, and can be estimated to uniform error epsilon in near-linear time.