Approximating \(n\)-time differentiable functions of selfadjoint operators in Hilbert spaces by two point Taylor type expansion

DOI10.1016/j.camwa.2011.03.078zbMath1223.47019OpenAlexW1963717505MaRDI QIDQ640488

Sever Silvestru Dragomir

Publication date: 18 October 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.03.078

zbMATH Keywords

selfadjoint operatorsspectral representationfunctions of selfadjoint operatorsinequalities for selfadjoint operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items

Trapezoidal type inequalities for Riemann-Stieltjes integral via Čebyšev functional with applications

Cites Work

• 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
• Approximating real functions which possess \(n\)-th derivatives of bounded variation and applications
• Čebyšev's type inequalities for functions of selfadjoint operators in Hilbert spaces
• New bounds for the Cebysev functional of two functions of selfadjoint operators in Hilbert spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item