关于Klamkin不等式的稳定性

摘要

利用单形“偏正”度量与几何不等式理论研究Klamkin不等式的稳定性,证明了关于n维单形的Klamkin不等式是稳定的,并给出它两种形式的稳定性版本,实质性推广了Klamkin不等式.%Using the deviation regular metric and theory of geometric inequality we prove the stability of the Klamkin inequality for an n-simplex. Two stability versions of the Klamkin inequality are given which generalize the Klamkin inequality.