New entropy bounds via uniformly convex functions

DOI10.1016/j.chaos.2020.110360zbMath1496.37014OpenAlexW3094062453MaRDI QIDQ2128173

Yamin Sayyari

Publication date: 21 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110360

zbMATH Keywords

Jensen's inequalityboundsrefinementsShannon's entropyuniformly convex function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Topological entropy (37B40) Convexity of real functions of several variables, generalizations (26B25)

Related Items (10)

On Some Inequalities of Differentiable Uniformly Convex Mapping with Applications ⋮ New Bounds for the Jensen-Dragomir Functional with Applications in Analysis ⋮ fgh -Convex Functions and Entropy Bounds ⋮ Complexities of information sources ⋮ Jensen-Mercer inequality for uniformly convex functions with some applications ⋮ On some inequalities for uniformly convex mapping with estimations to normal distributions ⋮ A new refinement of Jensen-type inequality with respect to uniformly convex functions with applications in information theory ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Generalized cyclic Jensen and information inequalities

Cites Work

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• A new entropy upper bound
• Algebraic and Shannon entropies of commutative hypergroups and their connection with information and permutation entropies and with calculation of entropy for chemical algebras
• Permutation complexity in dynamical systems. Ordinal patterns, permutation entropy and all that
• Jensen's inequality and new entropy bounds
• Some bounds on entropy measures in information theory
• On a global upper bound for Jensen's inequality
• Convex analysis and monotone operator theory in Hilbert spaces

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