Matrix inequalities for convex functions

DOI10.1006/jmaa.1997.5353zbMath0879.15014OpenAlexW2008241897MaRDI QIDQ1359560

Bertram Mond, Josip E. Pečarić

Publication date: 5 January 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5353

zbMATH Keywords

Jensen's inequalityconvex functionsmatrix inequalitiesinequalities for Hadamard products of matrices

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (6)

Matrix operator inequalities based on Mond, Pecaric, Jensen and Ando's ⋮ Recent developments of the operator Kantorovich inequality ⋮ Extension and generalization inequalities involving the Khatri-Rao product of several ⋮ A key inequality for functions of matrices ⋮ Unnamed Item ⋮ Ky Fan inequalities

Cites Work

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• On Jessen's inequality for convex functions
• Convex functions, partial orderings, and statistical applications
• Asymptotics of eigenvalues and unit-length eigenvectors of sample variance and correlation matrices
• Several matrix Kantorovich-type inequalities
• On Knopp's Inequality for Convex Functions
• On Inequalities Complementary to Jensen's
• A matrix version of the ky fan generalization of the kantorovich inequality II

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