Remarks on the monotonicity and convexity of Jensen's function

DOI10.7153/mia-2021-24-37zbMath1468.26017OpenAlexW3158814888MaRDI QIDQ4991592

Yang Huang, Yongtao Li, Josip E. Pečarić

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2021-24-37

zbMATH Keywords

convexityJensen inequalityHardy-Littlewood-Pólya inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Cites Work

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• 3-convex functions and generalizations of an inequality of Hardy-Littlewood-Pólya
• More accurate classes of Jensen-type inequalities for convex and operator convex functions
• More about Jensen's inequality and Cauchy's means for superquadratic functions
• On a Jensen-type inequality for F-convex functions
• Monotonicity of the Jensen functional for f-divergences with applications to the Zipf-Mandelbrot law
• On a Jensen-type inequality for generalized f-divergences and Zipf-Mandelbrot law
• An Inequality of Jensen
• Matrix theory. Basic results and techniques

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