New progress on the operator inequalities involving improved Young's and its reverse inequalities relating to the Kantorovich constant

DOI10.1186/s13660-017-1344-9zbMath1362.15019OpenAlexW2604951026WikidataQ37739161 ScholiaQ37739161MaRDI QIDQ522527

Junliang Wu, Jie Zhang

Publication date: 18 April 2017

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

Full work available at URL: https://doi.org/10.1186/s13660-017-1344-9

zbMATH Keywords

progressoperator inequalityYoung inequalityKantorovich constantHilbert-Schmidt formKittaneh-Manasrah 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) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant ⋮ Further refinements of Alzer-Fonseca-Kovačec's inequalities and applications

Cites Work

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• New versions of reverse Young and Heinz mean inequalities with the Kantorovich constant
• Operator inequalities involving improved Young and its reverse inequalities
• Improved Young and Heinz inequalities for matrices
• Refined Young inequalities with Specht's ratio
• Matrix Young inequalities for the Hilbert-Schmidt norm
• Improved Young and Heinz inequalities with the Kantorovich constant
• Operator inequalities and reverse inequalities related to the Kittaneh–Manasrah inequalities
• Reverse Young and Heinz inequalities for matrices
• Refined Young inequality with Kantorovich constant
• Some inequalities involving unitarily invariant norms
• Monotonicity of Positive Semidefinite Hermitian Matrices

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