Some inequalities of the Grüss type for the numerical radius of bounded linear operators in Hilbert spaces

DOI10.1155/2008/763102zbMath1151.26321OpenAlexW2163465729WikidataQ59218130 ScholiaQ59218130MaRDI QIDQ949005

Sever Silvestru Dragomir

Publication date: 16 October 2008

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129427

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (6)

Some numerical radius inequalities for products of Hilbert space operators ⋮ A survey of Jensen type inequalities for functions of selfadjoint 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 ⋮ Inequalities for the norm and numerical radius for Hilbert 𝐶*-module operators ⋮ Some trapezoidal vector inequalities for continuous functions of selfadjoint operators in Hilbert spaces

Cites Work

• A generalization of Grüss's inequality in inner product spaces and applications
• A survey of some recent inequalities for the norm and numerical radius of operators in Hilbert spaces
• An elementary proof of the power inequality for the numerical radius
• Reverses of the Schwarz inequality generalising a Klamkin–McLenaghan result
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