  Using the Blaschke-Berwald metric and the affine shape operator of a
hypersurface M in the (n+1)-dimensional real affine space we can define some
generalized curvature tensor named the Opozda-Verstraelen affine curvature
tensor. In this paper we determine curvature conditions of pseudosymmetry type
expressed by this tensor for locally strongly convex hypersurfaces M, n>2, with
two distinct affine principal curvatures or with three distinct affine
principal curvatures assuming that at least one affine principal curvature has
multiplicity 1.
