Bulletin of the Australian Mathematical Society

Research Article

On some mappings associated with geometric and arithmetic means

S. S. Dragomira1, D. Comănescua2 and C. E. M. Pearcea3

a1 Faculty of Mathematics, University of Timişoara, RO-1900, Timişoara, Romania

a2 Department of Applied Mathematics, The University of Adelaide, South Australia 5005, Australia

a3 Faculty of Mathematics, University of Timişoara, RO-1900, Timişoara, Romania

In this paper we introduce some new mappings associated with the weighted geometric mean. These are used to derive structural results linking weighted geometric and arithmetic means.

(Received April 18 1996)