This paper presents a simple deduction of an inequality for heavy weighted triangles, and with it some new quadratic inequalities of three variants at any point within a triangle.
给出了大加权三角形不等式的一个简单推论，由之简捷地推导出一些新的涉及三角形内部任一点的三元二次型不等式。
Finally, we provide an application of obtained result to the refinement of weighted power means inequality and weighted means inequality.
最后，我们应用所得结果给出加权幂平均不等式以及加权平均不等式的加细形式。
The two - parameters weighted mean in defined and an inequality for two - parameters weighted mean of convex function is prove, they have generalized and improved the results in literatures.
提出了函数的双参数加权平均的定义，证明了一个凸函数的双参数加权平均不等式，加强和推广了有关文献中的结果。
The two - parameters weighted mean in defined and an inequality for two - parameters weighted mean of convex function is prove, they have generalized and improved the results in literatures.
提出了函数的双参数加权平均的定义，证明了一个凸函数的双参数加权平均不等式，加强和推广了有关文献中的结果。
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