Some inequalities for continuous functions of selfadjoint operators in Hilbert spaces

DOI10.1007/S40306-014-0061-4zbMath1320.47015OpenAlexW2084875656MaRDI QIDQ490008

Sever Silvestru Dragomir

Publication date: 21 January 2015

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-014-0061-4

zbMATH Keywords

selfadjoint operatorsspectral representationfunctions of selfadjoint operatorsinequalities for selfadjoint operators

Mathematics Subject Classification ID

Linear operator inequalities (47A63) General theory of linear operators (47A99) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (6)

Trapezoidal type inequalities for Riemann-Stieltjes integral via Čebyšev functional with applications ⋮ Inequalities for \(h\)-\(\log\)-convex functions ⋮ Refinements of the weighted generalized trapezoid inequality in terms of cumulative variation and applications ⋮ Some Weighted Inequalities for Riemann–Stieltjes Integral When a Function Is Bounded ⋮ New Čebyšev type inequalities and applications for functions of self-adjoint operators on complex Hilbert spaces ⋮ INEQUALITIES FOR THE RIEMANN-STIELTJES INTEGRAL OF S-DOMINATED INTEGRATORS WITH APPLICATIONS. I

Cites Work

• Ostrowski's type inequalities for continuous functions of selfadjoint operators on Hilbert spaces: a survey of recent results
• A survey of Jensen type inequalities for functions of selfadjoint operators in Hilbert spaces
• A variant of Jensen's inequality of Mercer's type for operators with applications
• Some inequalities of the Grüss type for the numerical radius of bounded linear operators in Hilbert spaces
• Refinements of the generalised trapezoid and Ostrowski inequalities for functions of bounded variation
• Notes on some inequalities for linear operators
• Čebyšev's type inequalities for functions of selfadjoint operators in Hilbert spaces
• Vector and operator trapezoidal type inequalities for continuous functions of selfadjoint operators in Hilbert spaces
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