2016Journal of Inequalities and ApplicationsOpen access

Refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality

Jian Liu

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Abstract

In this paper, we present some new refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality. Based on verification by computer, several related interesting conjectures are put forward.

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In this paper, we present some new refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality. Based on verification by computer, several related interesting conjectures are put forward.

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Available abstract

In this paper, we present some new refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality. Based on verification by computer, several related interesting conjectures are put forward.

Key concepts: Mathematics, Inequality, Kantorovich inequality, Hölder's inequality, Rearrangement inequality, Log sum inequality, Ky Fan inequality, Pure mathematics

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