In this paper,the concepts of the ith L_p-mixed affine surface area and L_p-polar curvature images are introduced,some new inequalities connecting these new notions with L_p-centroid bodies and p-Blaschke bodies are showed.Moreover,a Blaschke-Santaio type inequality for L_p-mixed affine surface area is established.Our results also imply the similar to the inequalities for Marcus-Lopes,Bergstrom and Ky Fan.
