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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

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.