Some Kantorovich type inequalities and Young type inequalities for the Hadamard product of matrices
DOI:
https://doi.org/10.2298/FIL2604207XKeywords:
Convex map, Kantorovich type inequality, Young type inequality, Positive linear mapping, Positive definite matrixAbstract
In this paper, we present some Kantorovich type inequalities and Young type inequalities for the Hadamard product of positive definite matrices using the convexity of some functions involving positive definite matrices and the properties of Hadamard products of matrices. Based on this, we get some
Kantorovich type inequalities for the spectral condition numbers of Hadamard product of positive definite matrices and some Kantorovich type inequalities in the L¨owner partial ordering. Secondly, we obtain some
Kantorovich type inequalities involving the Hadamard product of positive matrices by the properties of positive linear functionals in matrix space. Finally, we provide some Kantorovich type inequalities for the permanent of positive matrices.
