THE NEW k − n TYPE NEUBERG - PEDOE INEQUALITIES

نویسندگان

  • Zhang Yao
  • Yang Lu
چکیده

Geometric inequalities for simplices which are the simplest and the most useful polytopes have been a very attractive subject for a long time. Mitrinovic, Pecaric, Volenec [9], Ali [1], Gerber [4], Petty, Waterman [11] and other authors [7,8] have obtained a great number of elegant results. Specially, the quantity relations involving two simplices have been studied extensively. The well-known NeubergPedoe inequality is the first inequality for the edge-lengths and areas involving two triangles [10]. The Neuberg-Pedoe inequality is as follows. Let ai, bi, ci(i = 1, 2) be the edge-lengths of the triangle with area i, then

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تاریخ انتشار 2008