Further refinements and generalizations of the Young's and its reverse inequalities

DOI10.1007/s40840-022-01448-0zbMath1504.15081OpenAlexW4313308010MaRDI QIDQ2108942

Jianguo Zhao

Publication date: 20 December 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-022-01448-0

zbMATH Keywords

operatorsdeterminantspositive semidefinite matricesYoung inequalitiesAl-Manasrah-Kittaneh inequalitiesAlzer-Fonseca-Kovačec inequalities

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Cites Work

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• A complete refinement of Young's inequality
• Reverse Young-type inequalities for matrices and operators
• Convexity and matrix means
• Operator inequalities involving improved Young and its reverse inequalities
• A generalization of two refined Young inequalities
• Improved Young and Heinz inequalities for matrices
• Means of positive linear operators
• Reverses of Young type inequalities for matrices using the classical Kantorovich constant
• Further improvements of Young inequality
• A Cauchy-Schwarz inequality for operators with applications
• Matrix Young inequalities for the Hilbert-Schmidt norm
• Further refinements of Alzer-Fonseca-Kovačec's inequalities and applications
• Some results of Young-type inequalities
• Natural approachs of Young's inequality
• An extension of Jensen's operator inequality and its application to Young inequality
• New refinements of Young's inequality
• Matrix inequalities for the difference between arithmetic mean and harmonic mean
• Further generalizations, refinements, and reverses of the Young and Heinz inequalities
• Global and fine approximation of convex functions
• Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators
• Operator inequalities and reverse inequalities related to the Kittaneh–Manasrah inequalities
• Young-type inequalities and their matrix analogues
• On refined Young inequalities and reverse inequalities
• Reverse Young and Heinz inequalities for matrices
• Refined Young inequality with Kantorovich constant
• Some inequalities involving unitarily invariant norms
• Matrix Analysis
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• On the further refinement of some operator inequalities for positive linear map
• Some refinements of young type inequality for positive linear map
• On refined operator version of Young inequality and its reverse
• Reverses of Young type inequalities
• Inequalities involving unitarily invariant norms and operator monotone functions

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