An extension of Jensen-Mercer inequality with applications to entropy

DOI10.5831/HMJ.2022.44.4.513MaRDI QIDQ6547398

Y. Sayyari

Publication date: 30 May 2024

Published in: Honam Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

convex functionzeta functionJensen inequalityShannon entropyMercer inequality

Mathematics Subject Classification ID

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

Cites Work

• Jensen's inequality and new entropy bounds
• Some bounds on entropy measures in information theory
• On convex functions and inequalities between mean values.
• New entropy bounds via uniformly convex functions
• On a global upper bound for Jensen's inequality
• Further reverse results for Jensen's discrete inequality and applications in information theory
• Analytic Inequalities
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