Convexity properties of some entropies. II (Q2274923)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convexity properties of some entropies. II |
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Convexity properties of some entropies. II (English)
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1 October 2019
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Problems touched by the author in a previous paper of the same title [Result. Math. 73, No. 3, Paper No. 105, 5 p. (2018; Zbl 1448.94118)] are developed. Namely, new equations and inequalities for the squared fundamental Bernstein polynomials in relation with Rényi and Tsallis entropies are presented. Finally, the author gives a new combinatorial identity for the above functions and proposes some conjectures.
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Bernstein polynomials
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functional equations
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inequalities
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log-convex function
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combinatorial identities
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Rényi entropy
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Tsallis entropy
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