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## List of Generalized Entropies

For all  the following generalized entropies are known in the literature by their respective authors, starting with Shannon's (1948) [86]. In some cases, it is understood that  for all. By no means can we say that the list is complete. Graphic representation of these entropies can be seen in Taneja (1989; 1990a) [105], [106], where it is shown that how some of these measures approaches to Shannon's entropy.

Shannon (1948) [86]

Rényi(1961) [82]

Aczél and Daróczy (1963) [1]

Varma(1966) [119]

Kapur (1967) [54]

Havrda and Charvát (1967) [46]

Belis and Guiasu (1968) [10]

Rathie (1970) [78]

Arimoto (1971) [3]

Sharma and Mittal (1975) [90]

Sharma and Taneja (1975; 1977) [92] [93]

Picard (1979) [77]

Ferrari (1980) [37]

Sant'anna and Taneja (1985) [85]

Kapur (1988) [59]

where  is the well known gamma function.

21-06-2001
Inder Jeet Taneja
Departamento de Matemática - UFSC
88.040-900 Florianópolis, SC - Brazil