  In the paper, our main aim is to generalize the width integrals to the Orlicz
space. Under the framework of Orlicz Brunn-Minkowski theory, we introduce a new
affine geometric quantity by calculating Orlicz first order variation of the
width integrals, and call as Orlicz mixed width integrals. The fundamental
notions and conclusions of the width integrals and Minkoswki and
Brunn-Minkowski inequalities for the width integrals are extended to an Orlicz
setting and the related concepts and inequalities of Lp mixed width integrals
of convex body are also derived.
