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A TRIGONOMETRIC METHOD OF SOLVING THE HADWIGER- FINSLER INEQUALITY IN ACUTE TRIANGLEKeywords: integral equation , selfadjoint operator , strongly positive linear operator. Abstract: In the paper [1] the authors proposed the following inequality:In any acute triangle are true the following inequality: a^2+b^2+c^2≤2-√3/3-2√2[(a-b)^2+(b-c)^2+(c-a)^2]The aim of this paper is to give a trigonometric proof of the inequality (1)
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