Convexity properties of some entropies. II

DOI10.1007/s00025-019-1081-0zbMath1429.26016OpenAlexW4239169802WikidataQ127409322 ScholiaQ127409322MaRDI QIDQ2274923

Ioan Raşa

Publication date: 1 October 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1081-0

zbMATH Keywords

inequalitiescombinatorial identitiesBernstein polynomialsfunctional equationsTsallis entropylog-convex functionRényi entropy

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Functional equations for real functions (39B22) Functional inequalities, including subadditivity, convexity, etc. (39B62) Measures of information, entropy (94A17) Convexity of real functions in one variable, generalizations (26A51)

Related Items (7)

Functional equations related to Appell polynomials and Heun functions ⋮ Information potential for some probability density functions ⋮ Log-concavity preserving property of Bernstein operators and Bernstein semigroup ⋮ Some generalizations concerning inaccuracy measures ⋮ A sequence of Appell polynomials and the associated Jakimovski-Leviatan operators ⋮ Remarks on a convexity theorem of Raşa ⋮ A discrete probability distribution and some applications

Cites Work

• On a conjecture concerning the sum of the squared Bernstein polynomials
• Complete monotonicity and zeros of sums of squared Baskakov functions
• Inequalities for ultraspherical polynomials. Proof of a conjecture of I. Raşa
• Entropies and Heun functions associated with positive linear operators
• Complete monotonicity of some entropies
• Convexity properties of some entropies
• Heun functions related to entropies
• Studying Baskakov-Durrmeyer operators and quasi-interpolants via special functions
• Bounds for some entropies and special functions
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