Wu, Yu-Dong; Zhang, Zhi-Hua; Lokesha, V. Sharpening on Mircea’s inequality. (English) Zbl 1137.51302 JIPAM, J. Inequal. Pure Appl. Math. 8, No. 4, Paper No. 116, 6 p. (2007). Summary: In this paper, by using one of Chen’s theorems, combining the method of mathematical analysis and nonlinear algebraic equation system, Mircea’s inequality involving the area, circumradius and inradius of the triangle is sharpened. MSC: 51M16 Inequalities and extremum problems in real or complex geometry 52A40 Inequalities and extremum problems involving convexity in convex geometry Keywords:best constant; Mircea’s inequality; Sylvester’s resultant; discriminant sequence; nonlinear algebraic equation system PDFBibTeX XMLCite \textit{Y.-D. Wu} et al., JIPAM, J. Inequal. Pure Appl. Math. 8, No. 4, Paper No. 116, 6 p. (2007; Zbl 1137.51302) Full Text: EuDML EMIS