Approximation of the integral mean divergence and \(f\)-divergence via mean results

DOI10.1016/j.mcm.2004.02.044zbMath1081.26012OpenAlexW1992845715MaRDI QIDQ815318

Sever Silvestru Dragomir, Pietro Cerone

Publication date: 16 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2004.02.044

zbMATH Keywords

approximationfunctions of bounded variationHermite-Hadamard inequalitydivergence measureCsiszár \(f\)-divergenceHermite-Hadamard divergenceintegral mean divergence

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Spaces of measures, convergence of measures (28A33) Convergence of probability measures (60B10)

Related Items

A new quantum \(f\)-divergence for trace class operators in Hilbert spaces ⋮ A generalization of HH \(f\)-divergence ⋮ Inequalities for Synchronous Functions and Applications ⋮ A simplified and unified generalization of some majorization results ⋮ Unnamed Item ⋮ Non-commutativef-divergence functional ⋮ INEQUALITIES FOR QUANTUM f-DIVERGENCE OF CONVEX FUNCTIONS AND MATRICES

Cites Work

• Differences between means with bounds from a Riemann-Stieltjes integral
• Comparing two integral means for absolutely continuous mappings whose derivatives are in \(L_\infty[a,b\) and applications]
• Csiszár \(f\)-divergence, Ostrowski's inequality and mutual information.
• Divergence measures based on the Shannon entropy
• A NEW DIRECTED DIVERGENCE MEASURE AND ITS CHARACTERIZATION∗
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item