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math.FA2024
Near-order relation of power means
Jinmi Hwang, Sejong Kim
On the setting of positive definite operators we study the near-order properties of power means such as the quasi-arithmetic mean (Hölder mean) and Rényi power mean. We see the mon…
math.FA2019
Tensor product and Hadamard product for the Wasserstein means
Jinmi Hwang, Sejong Kim
As one of the least squares mean, we consider the Wasserstein mean of positive definite Hermitian matrices. We verify in this paper the inequalities of the Wasserstein mean related…
math.FA2018
Bounds for the Wasserstein mean with applications to the Lie-Trotter mean
Jinmi Hwang, Sejong Kim
As the least squares mean for the Riemannian trace metric on the cone of positive definite matrices, the Riemannian mean with its computational and theoretical approaches has been…