Journal of Mathematical Sciences: Advances and Applications[1] H. Alzer, A new refinement of the arithmetic mean-geometric mean
inequality, Rocky Mountain J. Math. 27(3) (1997), 663-667.
[2] T. Ando, Concavity of certain maps on positive definite matrices
and applications to Hadamard products, Linear Algebra Appl. 26 (1979),
203-241.
[3] F. F. Bonsall and J. Duncan, Complete Normed Algebras,
Springer-Verlag, Berlin, New York, 1973.
[4] D. I. Cartwright and M. J. Field, A refinement of the
arithmetic-geometric mean inequality, Proc. Amer. Math. Soc. 71
(1978), 36-38.
[5] A. McD. Mercer, Bounds for A-G, A-H, G-H and a family of
inequalities of Ky Fan\'s type, using a general method, J. Math. Anal.
Appl. 243 (2000), 163-173.
[6] W. Pusz and S. L. Woronowicz, Functional calculus for sesquilinear
forms and the purification map, Reports on Mathematical Physics 8
(1975), 159-170.
[6] M. Sagae and K. Tanabe, Upper and lower bounds for the
arithmetic-geometric-harmonic means of positive definite matrices,
Linear and Multilinear Algebra 37 (1994), 279-282.
