Second derivative Lipschitz type inequalities for an integral transform of positive operators in Hilbert spaces

DOI10.17398/2605-5686.37.2.261OpenAlexW4310151476MaRDI QIDQ6177893

Sever Silvestru Dragomir

Publication date: 18 January 2024

Published in: Extracta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17398/2605-5686.37.2.261

zbMATH Keywords

operator inequalitiesoperator monotone functionstrapezoid inequalityoperator convex functionsmidpoint inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Functional calculus for linear operators (47A60)

Cites Work

• Calculus on normed vector spaces
• An inequality for Hilbert-Schmidt norm
• Differentiation of operator functions and perturbation bounds
• First and second order perturbation bounds for the operator absolute value
• Über monotone Matrixfunktionen
• Perturbation bounds for the operator absolute value
• Beiträge zur Störungstheorie der Spektralzerlegung
• Modulus of continuity of operator functions
• Precise lower bound of f(A)-f(B) for A>B>0 and non-constant operator monotone function f on [0,∞)
• Unnamed Item
• Unnamed Item