Some inequalities of Hölder type for quadratic weighted geometric mean of bounded linear operators in Hilbert spaces

DOI10.1080/03081087.2017.1295915zbMath1393.47008OpenAlexW2592701767MaRDI QIDQ4640066

Sever Silvestru Dragomir

Publication date: 16 May 2018

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1295915

zbMATH Keywords

Hölder's inequalityweighted geometric meanYoung's inequalityweighted harmonic meanoperator modulusarithmetic mean-geometric mean-harmonic mean inequalityMcCarthy's inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

New upper bounds for the numerical radius of operators on Hilbert spaces ⋮ Berezin number and numerical radius inequalities for operators on Hilbert spaces ⋮ Davis-Wielandt-Berezin radius inequalities via Dragomir inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• New versions of reverse Young and Heinz mean inequalities with the Kantorovich constant
• Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces
• Improved Young and Heinz inequalities for matrices
• Means of positive linear operators
• Extensions of Hölder-McCarthy and Kantorovich inequalities and their applications
• Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities
• Classes of operators determined by the Heinz-Kato-Furuta inequality and the Hölder-McCarthy inequality
• Operator inequalities related to Cauchy-Schwarz and Hölder-McCarthy inequalities
• \(c_ p\)
• Reverse Young and Heinz inequalities for matrices
• Operator Inequalities of the Jensen, Čebyšev and Grüss Type
• The Holder-McCarthy and the Young Inequalities Are Equivalent for Hilbert Space Operators
• ON HOLDER-MCCARTHY-TYPE INEQUALITIES WITH POWERS

This page was built for publication: Some inequalities of Hölder type for quadratic weighted geometric mean of bounded linear operators in Hilbert spaces