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Mathematics 2019, 7(3), 259; https://doi.org/10.3390/math7030259

On Improvements of Kantorovich Type Inequalities

1
Department of Mathematics, China Jiliang University, Hangzhou 310018, China
2
Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, China
*
Author to whom correspondence should be addressed.
Received: 8 February 2019 / Revised: 5 March 2019 / Accepted: 6 March 2019 / Published: 13 March 2019
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Abstract

In the paper, we give some new improvements of the Kantorovich type inequalities by using Popoviciu’s, Hölder’s, Bellman’s and Minkowski’s inequalities. These results in special case yield Hao’s, reverse Cauchy’s and Minkowski’s inequalities. View Full-Text
Keywords: Popoviciu’s inequality; Bellman’s inequality; Hölder’s weighted inequality; Minkowski’s inequality Popoviciu’s inequality; Bellman’s inequality; Hölder’s weighted inequality; Minkowski’s inequality
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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Zhao, C.-J.; Cheung, W.-S. On Improvements of Kantorovich Type Inequalities. Mathematics 2019, 7, 259.

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