论文标题
orlicz混合和弦积分
Orlicz mixed chord integrals
论文作者
论文摘要
我们引入了一个仿射几何数量，并将其称为Orlicz混合和弦积分，将和弦积分概括为Orlicz空间。 Minkoswki和Brunn-Minkowski的不平等现象已建立。在特殊情况下，这些新的不平等产生了一些通常的和弦积分的等等不平等现象。还得出了LP混合和弦积分的相关概念和不平等。
We introduce a affine geometric quantity and call it Orlicz mixed chord integral, which generalize the chord integrals to Orlicz space. Minkoswki and Brunn-Minkowski inequalities for the Orlicz mixed chord integrals are establish. These new inequalities in special cases yield some isoperimetric inequalities for the usual chord integrals. The related concepts and inequalities of Lp-mixed chord integrals are also derived.
