| Abstract: | Recently, the connection between p-measures of asymmetry and the L_p-mixed volumes for convex bodies was found soon after the p-measure of asymmetry was proposed, and the Orlicz-measures of asymmetry was proposed inspired by such a kind of connection. In this paper, by a similar way the dual p-measures of asymmetry for star bodies(naturally for convex bodies) is introduced first. Then the connection between dual p-measures of asymmetry and Lp-dual mixed volumes is established. Finally, the best lower and upper bounds of dual p-measures and the corresponding extremal bodies are discussed. |
