Title

The matrix power means and interpolations

Document Type

Article

Publication Date

6-1-2018

Abstract

It is well-known that the Heron mean is a linear interpolation between the arithmetic and the geometric means while the matrix power mean Pt(A;B): = A1/2 (I+(A-1/2BA-1/2)t/2)1/t A1/2 interpolates between the harmonic, the geometric, and the arithmetic means. In this article, we establish several comparisons between the matrix power mean, the Heron mean, and the Heinz mean. Therefore, we have a deeper understanding about the distribution of these matrix means.

Publication Title

Advances in Operator Theory

Volume

3

Issue

3

First Page

647

Last Page

654

Digital Object Identifier (DOI)

10.15352/aot.1801-1288

E-ISSN

2538225X

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