... 3, and {A 1 ,A 2, ,A n1} be the set of vertices. Let P be an arbitrary point in the interior of A. If Biis the intersection point of the extension line of A iP and the n − 1-dimensional ... means,and their applications,” Bulletin of the Australian Mathematical Society, vol. 56, no. 3, pp. 409–420, 1997.5 P. S. Bullen, Handbook of Means and Their Inequalities, vol. 560 of Mathematics ... W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications, vol. 143 of Mathematics in Science and Engineering, Academic Press, New York, NY, USA, 1979.7 G. H. Hardy,...