AbstractRecently the authors extended to positive semidefinite matrices converses of matrix inequalities corresponding to ratios and differences of means and of Hölder's inequality. Here, further generalizations are given to the case of the weighted sum of matrices
AbstractFor p > 1 we present reasonable nonnegative functions f(t) on [0,∞) such that in the space o...
In this article we introduce a new family of power means for m positive definite matrices, called Ré...
AbstractIn an earlier paper, Yang solved a problem set by R. Bellman. Recently Neudecker (J. Math. A...
AbstractConverses of matrix inequalities corresponding to ratios and differences of means are extend...
AbstractRecently the authors extended to positive semidefinite matrices converses of matrix inequali...
AbstractIn this paper we gave a generalization of power means which include positive nonlinear funct...
AbstractA matrix reverse Hölder inequality is given. This result is a counterpart to the concavity p...
In this paper we establish some multiplicative inequalities for weighted arithmetic and harmonic ope...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
In this article, we provide an alternate proof of the fact that the weighted power means μp(A,B,t)=(...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
AbstractWe extend to larger classes of norms some inequalities concerning sums of positive operators...
AbstractNecessary and sufficient conditions are derived for the matrix equality A-=PN-Q to hold, whe...
The purpose of this paper is to present some inequalities on majorization, unitarily invariant norm,...
In this paper we establish some new upper and lower bounds for the difference between the weighted a...
AbstractFor p > 1 we present reasonable nonnegative functions f(t) on [0,∞) such that in the space o...
In this article we introduce a new family of power means for m positive definite matrices, called Ré...
AbstractIn an earlier paper, Yang solved a problem set by R. Bellman. Recently Neudecker (J. Math. A...
AbstractConverses of matrix inequalities corresponding to ratios and differences of means are extend...
AbstractRecently the authors extended to positive semidefinite matrices converses of matrix inequali...
AbstractIn this paper we gave a generalization of power means which include positive nonlinear funct...
AbstractA matrix reverse Hölder inequality is given. This result is a counterpart to the concavity p...
In this paper we establish some multiplicative inequalities for weighted arithmetic and harmonic ope...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
In this article, we provide an alternate proof of the fact that the weighted power means μp(A,B,t)=(...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
AbstractWe extend to larger classes of norms some inequalities concerning sums of positive operators...
AbstractNecessary and sufficient conditions are derived for the matrix equality A-=PN-Q to hold, whe...
The purpose of this paper is to present some inequalities on majorization, unitarily invariant norm,...
In this paper we establish some new upper and lower bounds for the difference between the weighted a...
AbstractFor p > 1 we present reasonable nonnegative functions f(t) on [0,∞) such that in the space o...
In this article we introduce a new family of power means for m positive definite matrices, called Ré...
AbstractIn an earlier paper, Yang solved a problem set by R. Bellman. Recently Neudecker (J. Math. A...