Comments on paper by B.Lesche (Phys. Rev. E {\bf 70}, 017102 (2004)) "Renyi entropies and observables"

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It is shown that Lesche's conclusions on instability of the Renyi entropy are the same for the Tsallis entropy, as well. Moreover, they are unjustified for both entropies.
3 pages revtex4

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