Čebyšev's type inequalities for functions of selfadjoint operators in Hilbert spaces

DOI10.1080/03081080902992104zbMath1203.47008OpenAlexW1971761483MaRDI QIDQ3060016

Sever Silvestru Dragomir

Publication date: 30 November 2010

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

Full work available at URL: https://vuir.vu.edu.au/17970/

zbMATH Keywords

selfadjoint operatorcontinuous functionmonotonic functionsynchronous (asynchronous) functionČebyšev inequality

Mathematics Subject Classification ID

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

Related Items (21)

Trapezoidal type inequalities for Riemann-Stieltjes integral via Čebyšev functional with applications ⋮ Pompeiu-Čebyšev type inequalities for selfadjoint operators in Hilbert spaces ⋮ Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces ⋮ Cebysev’s type inequalities and power inequalities for the Berezin number of operators ⋮ A survey of Jensen type inequalities for functions of selfadjoint operators in Hilbert spaces ⋮ Some Jensen type inequalities for square-convex functions of selfadjoint operators in Hilbert spaces ⋮ Trace inequalities of Shisha-Mond type for operators in Hilbert spaces ⋮ Approximating \(n\)-time differentiable functions of selfadjoint operators in Hilbert spaces by two point Taylor type expansion ⋮ Some inequalities for continuous functions of selfadjoint operators in Hilbert spaces ⋮ Unnamed Item ⋮ Chebyshev type inequalities for Hilbert space operators ⋮ Some vector inequalities for continuous functions of self-adjoint operators in Hilbert spaces ⋮ Some trace inequalities of Čebyšev type for functions of operators in hilbert spaces ⋮ Norm inequalities of Čebyšev type for power series in Banach algebras ⋮ Some new inequalities of operator \(m\)-convex functions and applications for synchronous-asynchronous functions ⋮ Inequalities for the Berezin number of operators and related questions ⋮ Eigenvalue inequalities for n-tuple of matrices ⋮ Further results on Jensen-type inequalities ⋮ Cebysev’s type inequalities for positive linear maps of selfadjoint operators in Hilbert spaces ⋮ Revisiting the Grüss inequality ⋮ Some new relations between the Berezin number and the Berezin norm of operators

Cites Work

• On the Čebyšev inequality for weighted means
• A variant of Jensen's inequality of Mercer's type for operators with applications
• Unnamed Item

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