Comments on “On q-non-extensive statistics with non-Tsallisian entropy”
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It is shown that Jizba–Arimitsu entropy is not a solution of GSK system, as proposed in Jizba and Korbel (2016).

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A mistake leading to the wrong solution is pointed out.

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The correct unique solution of GSK axiomatic system is derived.

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New axiomatic system which characterizes Jizba–Arimitsu entropy is proposed.

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