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Mathematics 2019, 7(2), 139;

New Refinement of the Operator Kantorovich Inequality

Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran
Department of Information Science, College of Humanities and Sciences, Nihon University, Tokyo 102-0074, Japan
Author to whom correspondence should be addressed.
Received: 7 December 2018 / Revised: 21 January 2019 / Accepted: 24 January 2019 / Published: 1 February 2019
(This article belongs to the Special Issue Inequalities)
Full-Text   |   PDF [223 KB, uploaded 1 February 2019]


We focus on the improvement of operator Kantorovich type inequalities. Among the consequences, we improve the main result of the paper [H.R. Moradi, I.H. Gümüş, Z. Heydarbeygi, A glimpse at the operator Kantorovich inequality, Linear Multilinear Algebra, doi:10.1080/03081087.2018.1441799]. View Full-Text
Keywords: operator inequality; positive linear map; operator Kantorovich inequality; geometrically convex function operator inequality; positive linear map; operator Kantorovich inequality; geometrically convex function
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 (CC BY 4.0).

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Moradi, H.R.; Furuichi, S.; Heydarbeygi, Z. New Refinement of the Operator Kantorovich Inequality. Mathematics 2019, 7, 139.

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