SOME REVERSES OF THE JENSEN INEQUALITY WITH APPLICATIONS

DOI10.1017/S0004972712001098zbMath1275.26035OpenAlexW2162699601MaRDI QIDQ4914591

Sever Silvestru Dragomir

Publication date: 15 April 2013

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972712001098

zbMATH Keywords

Jensen's inequalitymeasurable functionsHölder's inequalityLebesgue integraldivergence measures\(f\)-divergence measures

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20) Communication theory (94A05)

Related Items (11)

Inequality for power series with nonnegative coefficients and applications ⋮ Unnamed Item ⋮ Entropic uncertainty relations for \((N, M)\)-POVMs ⋮ Q-learning with heterogeneous update strategy ⋮ Some estimations of the Jensen difference and applications ⋮ Unnamed Item ⋮ Reverses of the Jensen-type inequalities for signed measures ⋮ Jensen-type inequalities and their applications ⋮ A Survey of Reverse Inequalities for f-Divergence Measure in Information Theory ⋮ Unnamed Item ⋮ EXACT UPPER AND LOWER BOUNDS ON THE DIFFERENCE BETWEEN THE ARITHMETIC AND GEOMETRIC MEANS

Cites Work

• Unnamed Item
• Diversity and dissimilarity coefficients: A unified approach
• On a global upper bound for Jensen's inequality
• Divergence measures based on the Shannon entropy
• Bounds for the normalised Jensen functional
• BOUNDS FOR THE DEVIATION OF A FUNCTION FROM THE CHORD GENERATED BY ITS EXTREMITIES
• On the convexity of some divergence measures based on entropy functions
• f-entropies, probability of error, and feature selection
• Approximating discrete probability distributions with dependence trees
• On Information and Sufficiency
• An invariant form for the prior probability in estimation problems

This page was built for publication: SOME REVERSES OF THE JENSEN INEQUALITY WITH APPLICATIONS