Webb1 juli 2024 · Based on the L p -harmonic radial combination, Li and Wang researched the asymmetric L p -harmonic radial bodies, which belong to the asymmetric L p -Brunn-Minkowski theory initiated by Ludwig, Haberl and Schuster. In this paper, combined with Orlicz radial combination, we introduce the asymmetric Orlicz radial bodies and … WebbThe homogeneous (φ, ψ) Orlicz mixed Petty body is defined as follows. Definition 4.2. Let K, Q ∈ K o n, φ ∈ Φ ˆ 1 and ψ (t 1 n) be convex. A convex body M is said to be the …

Lp centroid bodies with respect to weights x ℓ - ScienceDirect

WebbA decade ago, the Lp L p analogue of the classical Busemann- Petty centroid inequality was proved. Here, the definition of the centroid body is extended to an Orlicz centroid body of a star body, and the corresponding analogue of the Busemann-Petty centroid inequality is established for convex bodies. Citation Download Citation Erwin Lutwak. WebbThis collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 2004-2005 reflects the general trends of the theory and are a source of inspiration for research. chips cracker

(PDF) The Orlicz-Petty bodies - ResearchGate

WebbThis thesis deals with the polar Orlicz-Minkowski problems and the p-capacitary Orlicz-Petty bodies. The polar Orlicz-Minkowski problems are introduced and the solvability of such problems is discussed under di erent conditions. In particular, under certain condition on ’;the existence of a solution is proved for a nonzero - Webbther the Orlicz Petty projection inequality nor the Orlicz Busemann-Petty centroid inequality appears to lead to the other in some manner discernable to the authors. … Webb1 jan. 2015 · We find the conditions to the existence of the general dual Orlicz-Petty body and hence prove the continuity of the general geominimal surface area in the Orlicz … grapevine texas high schools