Quadratic interpolation of the Heinz means
From MaRDI portal
Publication:4685281
DOI10.7153/mia-2018-21-53zbMath1402.15016arXiv1710.08497OpenAlexW2766080143MaRDI QIDQ4685281
Mohammad S. Sababheh, Fuad Kittaneh, Mohammad Sal Moslehian
Publication date: 5 October 2018
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.08497
Linear inequalities of matrices (15A39) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Means (26E60)
Related Items (12)
On the Heinz mean in multiple variables ⋮ Further inequalities involving the weighted geometric operator mean and the Heinz operator mean ⋮ Sharp bounds for Heinz mean by Heron mean and other means ⋮ More accurate operator means inequalities ⋮ New ordering relations for the Heinz means via hyperbolic functions ⋮ On the matrix harmonic mean ⋮ Extended Heinz and Jensen type inequalities and rearrangements ⋮ Some inequalities involving Heron and Heinz means of two convex functionals ⋮ Refining and reversing the weighted arithmetic-geometric mean inequality involving convex functionals and application for the functional entropy ⋮ Generalization of Heinz operator inequalities via hyperbolic functions ⋮ Rajendra Bhatia and his mathematical achievements ⋮ Some inequalities involving interpolations between arithmetic and geometric mean
Cites Work
- Advanced refinements of Young and Heinz inequalities
- More accurate Young, Heinz, and Hölder inequalities for matrices
- On the convexity of the Heinz means
- Interpolating the arithmetic--geometric mean inequality and its operator version
- Improved Young and Heinz inequalities for matrices
- Some inequalities for norms on matrices and operators
- Piecewise quadratic interpolation and applications to the Young inequality
- Norm inequalities for fractional powers of positive operators
- Young type inequalities for positive operators
- Further refinements of the Heinz inequality
- Integral inequalities of the Heinz means as convex functions
- Refined Heinz operator inequalities
- Inequalities related to Heinz and Heron means
- Reverse Young and Heinz inequalities for matrices
- Log and harmonically log-convex functions related to matrix norms
- Reverses and variations of Heinz inequality
- More Matrix Forms of the Arithmetic-Geometric Mean Inequality
- Complete interpolation of matrix versions of Heron and Heinz means
- Inequalities involving eigenvalues for difference of operator means
This page was built for publication: Quadratic interpolation of the Heinz means
