Choi-Davis-Jensen's inequality without convexity

DOI10.7153/JMI-2018-12-82OpenAlexW2963596460WikidataQ128854473 ScholiaQ128854473MaRDI QIDQ4614908

Shigeru Furuichi, Jadranka Mićić, Hamid Reza Moradi

Publication date: 1 February 2019

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

Full work available at URL: https://arxiv.org/abs/1705.09784

zbMATH Keywords

convex functionpositive linear mapsoperator inequalityKantorovich inequalityChoi-Davis-Jensen's inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (8)

On the Jensen's inequality and its variants ⋮ More about operator order preserving ⋮ Refining and reversing Jensen's inequality ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the operator Jensen-Mercer inequality ⋮ Complementary to Jensen's operator inequalities in external formulas ⋮ Further results on Jensen-type inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jensen's inequality for operators without operator convexity
• Matrix versions of the Cauchy and Kantorovich inequalities
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Generalized Shannon inequalities based on Tsallis relative operator entropy
• Fundamental properties of Tsallis relative entropy
• A matrix convexity approach to some celebrated quantum inequalities
• A Schwarz Inequality for Convex Operator Functions
• Inequalities for positive linear maps on Hermitian matrices
• Perspectives of matrix convex functions
• A key inequality for functions of matrices

This page was built for publication: Choi-Davis-Jensen's inequality without convexity