Extension of the Kantorovich Inequality for Positive Multilinear Mappings

Mohsen Kian, Mahdi Dehghani

Abstract


It is known that the power functions does not preserve
the matrix order in general.  It has been recently shown that  these functions  preserve the order in some
matrix inequalities. We first have a look at these works. Then we present some matrix inequalities concerining positive multilinear mappings.

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