Generalized Fekete means

Generalized Steffensen Means

generalized steffensen means

Fekete Points

In this communication we present a new method to estimate Fekete points on surfaces. Our method works in a general setting, in the sense that we can obtain good estimations of the Fekete points on piecewise regular surfaces. The determination of Fekete points in the unit sphere is considered as a model of a highly non-linear optimization problem with non-linear constraints. In fact, obtaining a...

Correction to "generalized Means"

The purpose of this note is to correct a mistake in the paper entitled Generalized means, which appeared in these Transactions [4]. At the same time, it may be appropriate to report the state of some problems raised there. 1. In §7 of [4] it is asserted that the set of means forms a compact set in the weak operator topology. I am indebted to S. P. Lloyd, of the Bell Telephone Laboratories, for ...

A Generalized Singular Value Inequality for Heinz Means

In this paper we will generalize a singular value inequality that was proved before. In particular we obtain an inequality for numerical radius as follows: begin{equation*} 2 sqrt{t (1-t)} omega(t A^{nu}B^{1-nu}+(1-t)A^{1-nu}B^{nu}) leq omega(t A + (1- t) B), end{equation*} where, $ A $ and $ B $ are positive semidefinite matrices, $ 0 leq t leq 1 $ and $ 0 leq nu leq frac{3}{2}.$