Geometrical Inequalities in Acute Triangles Involving the Medians IX

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Geometrical Inequalities in Acute Triangles Involving the Medians IX

Journal Title: Acta Marisiensis. Seria Technologica - Year 2017, Vol 14, Issue 1

Abstract

The purpose of this paper is to give a positive answer to a new open question that aimed to generalize previous open questions formulated by researchers in the field of geometrical inequalities. In this sense we prove that in every acute triangle ABC from a < b < c result a α + mα a < bα + mα b < cα + mα c , where α ∈ (2, 2 · log 5 4 5 3 ).

Authors and Affiliations

Béla FINTA

Keywords

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EP ID EP288981
DOI -
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