q-Quermassintegral forms of the Lp-Busemann-Petty centroid inequality

Authors：Xue, Hui^*; Wang, Weidong

Source：Annales Polonici Mathematici, 2023, 131(1): 85-95.

DOI：10.4064/ap221124-29-5

• Lp-centroid body
• Lp-Busemann-Petty centroid inequality
• quer-massintegral
• q-quermassintegral
• harmonic quermassintegral

Lutwak, Yang and Zhang established the Lp-Busemann-Petty centroid inequality. We establish the q-quermassintegral forms of the Lp-Busemann-Petty centroid inequality for convex bodies. As special cases, we obtain the quermassintegral and har-monic quermassintegral versions of this inequality for convex bodies.