The proposed two-parameter entropy reduces, by the paper's own formulas, to the one-parameter Tsallis entropy S_q with q=2k+1, independent of r.
Inf ormation ge- ometry of κ-exponential families: Dually-flat, hessian and legendre struc- tures
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A two-parameter entropy and its fundamental properties
The proposed two-parameter entropy reduces, by the paper's own formulas, to the one-parameter Tsallis entropy S_q with q=2k+1, independent of r.