四元数自共轭半正定矩阵的反向Hlder不等式和Minkowski不等式

The Inverse Inequalities of H older and Minkowski for Self-Conjugate Semidefinite Quaternion Matrices

本文得到了四元数自共轭半正定矩阵的反向Hlder不等式和Minkowski不等式,给出了等号成立时的充要条件,并改进了文[1]、[2]中的某些结果。

In this paper,the inverse inequalities of H older and Minkowski for self-conjugate semidefinite quaternion matrices are obtained,the necessary and sufficient conditions for equalities are given,and some results in paper [1]、[2] are improved.