Complete interpolation of matrix versions of Heron and Heinz means

Abstract

The interpolation and comparison of a matrix version of Heron mean, F α(a,b) = (1-α)√ab+α a+b/2, 0 ≤ α ≤ 1, a,b ∈ ℝ+ is considered by R. Bhatia in [1]. We shall discuss the complete interpolation and comparison of matrix version of such means by extending the range of α from [0,1] to ℝ+. We shall also discuss some more results involving Heinz means. © ELEMEN.