Hadamard不等式和Szasz不等式的逆形式

Inverse Forms of Hadamard Inequality and Szasz Inequality

研究了有限向量集的混合体积的性质,并且利用外微分作为工具证明了一个有关混合体积和平行体体积的Minkowski型不等式,由此证明Hadamard不等式和Szasz不等式的逆形式.

Inverse forms of Hadamard inequality and Szasz inequality are proved. The mixed volume of two finite vector sets is introduced. By employing exterior differential, a new Minkowski inequality associating with the mixed volume and volumes of parallelotopes is established.