The P-class and Q-class functions on symmetric cones

DOI10.23952/jnva.4.2020.2.08zbMath1486.26017OpenAlexW3112448723MaRDI QIDQ5121448

Chien-Hao Huang, Jein-Shan Chen, Yu-Lin Chang

Publication date: 14 September 2020

Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.23952/jnva.4.2020.2.08

zbMATH Keywords

symmetric cone\(P\)-class function\(Q\)-class functionSC-convex functionSC-monotone function

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51)

Cites Work

• SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions
• Some characterizations for SOC-monotone and SOC-convex functions
• The Minnesota notes on Jordan algebras and their applications. Edited and annotated by Aloys Krieg and Sebastian Walcher
• On Jensen's inequality for a class of functions of Godunova and Levin
• Jensen inequalities for \(P\)-class functions
• \(P\)-functions, quasi-convex functions, and Hadamard-type inequalities
• Operator \(P\)-class functions
• Smoothing Functions for Second-Order-Cone Complementarity Problems
• Löwner's Operator and Spectral Functions in Euclidean Jordan Algebras
• On the Godunova-Levin-Schur class of functions
• The convex and monotone functions associated with second-order cone
• Quasi-convex functions and Hadamard's inequality
• Some P-Properties for Nonlinear Transformations on Euclidean Jordan Algebras
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