On refined Young inequalities and reverse inequalities

Details On refined Young inequalities and reverse inequalities On refined Young inequalities and reverse inequalities

2010-01-04

arxiv.org/abs/1001.0535v4

J.Math.Ineq.,Vol.5(2011), pp.21-31

Mathematics

Functional Analysis

The arised problem in Remark 4.2 in the previous manuscript was partially solved by finding a counter-example. Thus 5 lines fr

Scientific paper

In this paper, we show refined Young inequalities for two positive operators.
Our results refine the ordering relations among the arithmetic mean, the
geometric mean and the harmonic mean for two positive operators. In addition,
we give two different reverse inequalities for the refined Young inequality for
two positive operators.

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