A new class of operator monotone functions via operator means

DOI10.1080/03081087.2016.1160999zbMath1384.47010arXiv1603.08467OpenAlexW2303254558MaRDI QIDQ2953395

Mandeep Singh, Jaspal Singh Aujla, Rajinder Pal, Mohammad Sal Moslehian

Publication date: 4 January 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08467

zbMATH Keywords

operator monotone functionpositive operatoroperator meaninvariance of mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (14)

Relative entropy and Tsallis entropy of two accretive operators ⋮ Some logarithmic submajorisations and determinant inequalities for operators with numerical ranges in a sector ⋮ Study of eigenvalues of some matrices via dilations ⋮ Logarithmic mean of positive invertible operators ⋮ On the weighted chaotic identric mean of two accretive matrices ⋮ A new family of weighted operator means including the weighted Heron, logarithmic and Heinz means ⋮ Improvements of logarithmic and identric mean inequalities for scalars and operators ⋮ Mathematical inequalities on some weighted means ⋮ Improvements of the weighted Hermite-Hadamard inequality and applications to mean inequality ⋮ On weighted means and their inequalities ⋮ A family of weighted operator means including the weighted Heinz and Lehmer means ⋮ Refined inequalities on the weighted logarithmic mean ⋮ More results on weighted means ⋮ On a class of new means including the generalized Schwab-Borchardt mean

Cites Work

• On the identric and logarithmic means
• Means of positive linear operators
• Invariant and complementary quasi-arithmetic means
• Interpolation classes and matrix means
• Series and parallel addition of matrices
• Refined Heinz operator inequalities
• AN EXTENSION OF THE HERMITE-HADAMARD INEQUALITY THROUGH SUBHARMONIC FUNCTIONS*
• Convex functions and their applications. A contemporary approach

This page was built for publication: A new class of operator monotone functions via operator means