Liu, Lijuan; Wang, Wei Inequalities for \({L_p}\) mixed intersection bodies. (English) Zbl 1424.52012 Chin. Q. J. Math. 33, No. 2, 156-165 (2018). Summary: The notions of \({L_p}\) intersection bodies were defined previously. In this paper, we introduce the \({L_p}\) mixed intersection bodies, and establish some geometric inequalities for \({L_p}\) mixed intersection bodies. Furthermore, the Busemann-Petty type problem for \({L_p}\) mixed intersection bodies is shown. MSC: 52A40 Inequalities and extremum problems involving convexity in convex geometry 52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces) Keywords:star body; radial function; \({L_p}\) mixed intersection bodies; \({L_p}\) cosine transform PDFBibTeX XMLCite \textit{L. Liu} and \textit{W. Wang}, Chin. Q. J. Math. 33, No. 2, 156--165 (2018; Zbl 1424.52012) Full Text: DOI