$q$-Quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality
Tom 131 / 2023
Annales Polonici Mathematici 131 (2023), 85-95
MSC: Primary 52A40; Secondary 52A20.
DOI: 10.4064/ap221124-29-5
Opublikowany online: 19 July 2023
Streszczenie
Lutwak, Yang and Zhang established the $L_p$-Busemann–Petty centroid inequality. We establish the $q$-quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality for convex bodies. As special cases, we obtain the quermassintegral and harmonic quermassintegral versions of this inequality for convex bodies.
