## Nihonkai Mathematical Journal

### A refinement of the grand Furuta inequality

#### Abstract

A refinement of the Löwner--Heinz inequality has been discussed by Moslehian--Najafi. In the preceding paper, we improved it and extended to the Furuta inequality. In this note, we give a further extension for the grand Furuta inequality. We also discuss it for operator means. A refinement of the arithmetic-geometric mean inequality is obtained.

#### Article information

Source
Nihonkai Math. J., Volume 27, Number 1-2 (2016), 117-123.

Dates
Revised: 11 June 2016
First available in Project Euclid: 14 September 2017

https://projecteuclid.org/euclid.nihmj/1505419745

Mathematical Reviews number (MathSciNet)
MR3698245

Zentralblatt MATH identifier
06820451

#### Citation

Fujii, Masatoshi; Nakamoto, Ritsuo. A refinement of the grand Furuta inequality. Nihonkai Math. J. 27 (2016), no. 1-2, 117--123. https://projecteuclid.org/euclid.nihmj/1505419745

#### References

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