We characterize the positive radial continuous and rotation invariant valuations V defined on
the star bodies of R n as the applications on star bodies which admit an integral …

Integral representations are obtained of positive additive functionals on finite products of the
space of continuous functions (or of bounded Borel functions) on a compact Hausdorff …

The (p, q)-mixed geominimal surface areas are introduced. A special case of the new
concept is the Lp geominimal surface area introduced by Lutwak. Related inequalities, such …

Abstract Lutwak, Yang, and Zhang introduced the concept of (p, q) (p,q)-mixed volume
whose special cases contain the L p L_p-mixed volume and the L p L_p-dual mixed volume …

A bounded domain is called polynomially integrable if its parallel section function is a
polynomial of (on its support) for every. A complete characterization of such domains was …

The setting of this paper is the Euclidean n-space n. Let V (K) denote the n-dimensional
volume of the body K. We reserve B for the unit ball centered at the origin, and Sn− 1 for the …

In this article, the general (p, q)-mixed projection bodies are introduced. Then, some basic
properties of the general (p, q)-mixed projection bodies are discussed, and the extreme …

Abstract Lutwak, Yang, and Zhang introduced the concept of (p, q)-mixed volume whose
special cases contain the L p-mixed volume and the L p-dual mixed volume. In this article …