Bulletin of the Australian Mathematical Society

Research Article

Reverses of the Schwarz inequality generalising a Klamkin–McLenaghan result

Sever S. Dragomira1

a1 School of Computer Science and Mathematics, Victoria University, PO Box 14428, Melbourne City, VIC 8001, Australia, e-mail: sever.dragomir@vu.edu.au

New reverses of the Schwarz inequality in inner product spaces that incorporate the classical Klamkin-McLenaghan result for the case of positive n-tuples are given. Applications for Lebesgue integrals are also provided.

(Received September 12 2005)