An interpolation of Jensen's inequality and its applications to mean inequalities

DOI10.7153/jmi-2018-12-22zbMath1442.47010OpenAlexW2804121445MaRDI QIDQ4576067

Jadranka Mićić, Yuki Seo

Publication date: 12 July 2018

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2018-12-22

zbMATH Keywords

convex functionJensen's inequalitypositive linear mapKarcher meanquasi-arithmetic mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (12)

Sharpening celebrated convex inequalities with applications to operators and entropies ⋮ Unnamed Item ⋮ An elementary three-variable inequality with constraints for the power function of the norms on some metric spaces ⋮ A new refinement of the Jensen inequality with applications in information theory ⋮ Unnamed Item ⋮ Jensen-type inequalities and their applications ⋮ Improvement and generalization of some Jensen-Mercer-type inequalities ⋮ Properties of Pečarić-type functions and applications ⋮ Inequalities of the Edmundson-Lah-Ribarič type for selfadjoint operators in Hilbert spaces ⋮ An interpolation of Jensen's inequality and its converses with applications to quasi-arithmetic mean inequalities ⋮ New refinement of the Jensen inequality associated to certain functions with applications ⋮ Unnamed Item

Cites Work

• Two mappings in connection to Hadamard's inequalities
• Karcher means and Karcher equations of positive definite operators
• Some mappings related to Levinson’s inequality for Hilbert space operators
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