On some improvements of the Jensen inequality with some applications

DOI10.1155/2009/323615zbMath1175.26041OpenAlexW2141740246WikidataQ59220301 ScholiaQ59220301MaRDI QIDQ1035490

J. Blot

Publication date: 3 November 2009

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2009/323615

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items

Strongly reciprocally \(p\)-convex functions and some inequalities ⋮ Refinement of the Jensen integral inequality ⋮ New converses of Jensen inequality via Green functions with applications ⋮ Several Jensen-grüss inequalities with applications in information theory ⋮ Generalization of some bounds containing entropies on time scales ⋮ Further refinements of Jensen's type inequalities for the function defined on the rectangle ⋮ Estimation of divergence measures via Weighted Jensen inequality on time scales ⋮ Generalization and refinements of the Jensen-Mercer inequality with applications

Cites Work

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• A new class of metric divergences on probability spaces and its applicability in statistics
• The inequality of Ky Fan and related results
• On logarithmic convexity for differences of power means
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• On logarithmic convexity for differences of power means and related results
• AN IMPROVEMENT OF JENSEN'S INEQUALITY WITH SOME APPLICATIONS
• On Information and Sufficiency
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