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On extended Shannon entropies and the epsilon entropy. (English) Zbl 0608.94002
On the class of all metrized probability spaces, a certain modification of one of the extended Shannon entropies introduced by the author coincides (up to a multiplicative constant) with the epsilon entropy as introduced by E. C. Posner, E. R. Rodemich and H. Rumsey [Ann. Math. Stat. 38, 1000-1020 (1967; Zbl 0168.180)].

MSC:
94A17 Measures of information, entropy
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