Some inequalities for operator (p, h)-convex functions

DOI10.1080/03081087.2017.1307914zbMath1427.15039arXiv1712.07731OpenAlexW3101529406MaRDI QIDQ5206300

Khue Thi Bich Vo, Dinh Trung Hoa

Publication date: 18 December 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.07731

zbMATH Keywords

operator Hansen-Pedersen-type inequalityoperator Jensen-type inequalityoperator \((p,h)\)-convex functions

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) States of selfadjoint operator algebras (46L30)

Related Items (5)

Matrix Inequalities and Characterizations of Operator Monotone Functions ⋮ Operator \((p,\eta)\)-convexity and some classical inequalities ⋮ A new type of operator convexity ⋮ Jensen-Mercer type inequalities for operator \(h\)-convex functions ⋮ Hermite-Hadamard type inequalities for operator (p,h)-convex functions

Cites Work

• Unnamed Item
• On \(h\)-convexity
• Jensen's inequality for operators and Loewner's theorem
• On the \((p, h)\)-convex function and some integral inequalities
• Operator \(P\)-class functions
• A note on definition of matrix convex functions
• On matrix inequalities between the power means: counterexamples
• JENSEN TYPE INEQUALITIES FOR Q-CLASS FUNCTIONS
• Inequalities between means of positive operators
• Operator Inequalities Related to Q-Class Functions

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