In this paper the rational convex combination of two operator is constructed in standard tringle .

本文构造了标准 三角形 上两个算子的有理凸组合 逼近 并 推广 到 任意 三角形 上。

The applications of heavy weighted tringle inequality is given the concerned three tringles and one point of the three sine inequality and its popularization in this paper . From this it can infer a series of new triangle inequalities .

应用大加权 三角形不等式给出了涉及三个三角形与一点的三正弦不等式及其推广，并由之推导出一系列新的三角形不等式。