Non-commutative A-g Mean Inequality
نویسنده
چکیده
In this paper we consider non-commutative analogue for the arithmeticgeometric mean inequality ab + (r − 1)b ≥ ra for two positive numbers a, b and r > 1. We show that under some assumptions the non-commutative analogue for ab which satisfies this inequality is unique and equal to r-mean. The case 0 < r < 1 is also considered. In particular, we give a new characterization of the geometric mean.
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تاریخ انتشار 2008