Sharp complex affine isoperimetric inequalities are established for the entire class of complex projection bodies and the entire class of complex moment bodies.
Sharp complex affine isoperimetric inequalities are established for the entire class of complex projection bodies and the entire class of complex moment bodies.
When p ⩾ 1 and. C is a complex Lp zonoid in the complex plane, we establish the complex extension of the Lp. Busemann-Petty centroid inequality and the Lp Petty ...
We will show in Section 6 that each of the new inequalities. (1) also strengthens and directly implies the isoperimetric inequality. Note that the inequalities ...
Sep 11, 2008 · Sharp Lp affine isoperimetric inequalities are established for the entire class of Lp projection bodies and the entire class of Lp centroid bodies.
Missing: Complex | Show results with:Complex
In this paper, we define the complex Lp projec- tion body operator ΠC,p and the complex Lp centroid body operator ΓC,p . When p ⩾ 1 and. C is a complex Lp ...
Oct 27, 2024 · On their clear stream of the study we follow Wei Wang and Lijuan Liu [38] who established the sharp complex 𝐿1+𝜖 affine isoperimetric ...
Abstract. Sharp Lp affine isoperimetric inequalities are established for the entire class of Lp projection bodies and the entire class of Lp centroid bodies.
We also establish the reverse version of L p-. Petty projection inequality and an affine isoperimetric inequality of −p K. Keywords. Isotropic measure; Lp-Petty ...
Missing: Complex | Show results with:Complex
An affine isoperimetric inequality relates two functionals associated with convex bodies. (or more general sets) where the ratio of the functionals is ...
Missing: Complex | Show results with:Complex