More accurate Young, Heinz, and Hölder inequalities for matrices

DOI10.1007/s10998-015-0086-zzbMath1374.15034OpenAlexW581199369MaRDI QIDQ520050

Mario Krnić

Publication date: 31 March 2017

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-015-0086-z

zbMATH Keywords

matrix inequalitiesHölder inequalityunitarily invariant normpositive semidefinite matrixHeinz inequalityHilbert-Schmidt normyoung inequality

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Other analytical inequalities (26D20)

Related Items (8)

New ordering relations for the Heinz means via hyperbolic functions ⋮ Piecewise quadratic interpolation and applications to the Young inequality ⋮ On the matrix harmonic mean ⋮ Improved Young and Heinz operator inequalities with Kantorovich constant ⋮ More accurate classes of Jensen-type inequalities for convex and operator convex functions ⋮ Some refinements of the improved Young and its reverse inequalities ⋮ Quadratic interpolation of the Heinz means ⋮ Refining and reversing the weighted arithmetic-geometric mean inequality involving convex functionals and application for the functional entropy

Cites Work

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• Interpolating the arithmetic--geometric mean inequality and its operator version
• Improved Young and Heinz inequalities for matrices
• Arithmetic-geometric mean and related inequalities for operators
• Norm inequalities for fractional powers of positive operators
• Matrix Young inequalities for the Hilbert-Schmidt norm
• On the properties of McShane's functional and their applications
• Refined Heinz operator inequalities
• ON SOME REFINEMENTS AND CONVERSES OF MULTIDIMENSIONAL HILBERT-TYPE INEQUALITIES
• Reverse Young and Heinz inequalities for matrices
• Matrix Analysis
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• Positive Definite Functions and Operator Inequalities

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