Journal of Inequalities and Applications
Volume 2 (1998), Issue 2, Pages 137-148
doi:10.1155/S1025583498000083

Operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities

Takayuki Furuta

Department of Applied Mathematics, Faculty of Science, Science University of Tokyo, 1-3 Kagurazaka, Shinjuku, Tokyo 162, Japan

Received 23 January 1997

Copyright © 1998 Takayuki Furuta. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We discuss operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities. We give a complementary inequality of Hölder–McCarthy one as an extension of [2] and also we give an application to the order preserving power inequality.