Deformed logarithms and entropies

@inproceedings{Kaniadakis2004DeformedLA,
  title={Deformed logarithms and entropies},
  author={Giorgio Kaniadakis and Marcello Lissia and Antonio Maria Scarfone},
  year={2004}
}
By solving a differential-functional equation inposed by the MaxEnt principle we obtain a class of two-parameter deformed logarithms and construct the corresponding two-parameter generalized trace-form entropies. Generalized distributions follow from these generalized entropies in the same fashion as the Gaussian distribution follows from the Shannon entropy, which is a special limiting case of the family. We determine the region of parameters where the deformed logarithm conserves the most… CONTINUE READING

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