Inequalities for Functions of Selfadjoint Operators on Hilbert Spaces

zbMath1449.47036arXiv1203.1667MaRDI QIDQ5216278

Sever Silvestru Dragomir

Publication date: 17 February 2020

Full work available at URL: https://arxiv.org/abs/1203.1667

zbMATH Keywords

Jensen's inequalityselfadjoint operatorsoperator inequalitiesTaylor's expansiontrapezoid inequalityOstrowski's inequalitycontinuous functional calculus

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Inequalities involving derivatives and differential and integral operators (26D10) Operators on Hilbert spaces (general) (47B02)

Cites Work

• Approximating real functions which possess \(n\)-th derivatives of bounded variation and applications
• BOUNDS FOR THE DEVIATION OF A FUNCTION FROM THE CHORD GENERATED BY ITS EXTREMITIES

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