WebAug 1, 2024 · Thus, assume that we are given n ≥ 3, and that the Alexandrov–Fenchel inequality is already proven in dimension n − 1. Our goal is to prove that, given m ≥ 3 … WebIn this paper, we first give two versions of the Fenchel duality formula and Brøndsted-Rockafellar's theorem. The versions are useful and the proofs are not so difficult. Next, we present a theorem in a Banach space to reconsider the Ekeland variational principle and Takahashi's nonconvex minimization theorem proved in a complete metric space.
Perturbed Fenchel duality and first-order methods SpringerLink
WebSep 1, 2024 · The Bochner method was already used in [20] to provide new proofs of the Alexandrov-Fenchel inequality, a much deeper result of which (1.6) is a special case, and of the Alexandrov mixed ... WebNov 8, 2024 · The Alexandrov-Fenchel inequality, a far-reaching generalization of the classical isoperimetric inequality to arbitrary mixed volumes, lies at the heart of convex geometry. The characterization of its extremal bodies is a long-standing open problem that dates back to Alexandrov's original 1937 paper. The known extremals already form a … certainteed ceiling tiles commercial
Introduction - USTC
WebOct 2, 2024 · Various Alexandrov-Fenchel type inequalities have appeared and played important roles in convex geometry, matrix theory and complex algebraic geometry. It has been noticed for some time that they share some striking analogies and have intimate relationships. The purpose of this article is to shed new light on this by comparatively … WebFeb 18, 2024 · New dynamic Hilbert-type inequalities in two independent variables involving Fenchel–Legendre transform. A. El-Deeb, S. Rashid, Z. Khan, S. Makharesh. Mathematics. 2024. In this paper, we establish some dynamic Hilbert-type inequalities in two independent variables on time scales by using the Fenchel–Legendre transform. WebJan 1, 2024 · Zestimate® Home Value: $445,000. 3227 Fendall Ave, Richmond, VA is a single family home that contains 1,815 sq ft and was built in 1925. It contains 3 … certainteed ceiling tile distributors near me