In this article, some of the fundamental inequalities for the basic geometric functionals on convex bodies are described. For some of these, functional analogs and extensions have been obtained. Some of these are motivated by the calculus of variations
Geometric and Functional Inequalities / Colesanti, Andrea; Hug, Daniel. - STAMPA. - 2332:(2023), pp. 79-158. [10.1007/978-3-031-37883-6_3]
Geometric and Functional Inequalities
Colesanti, Andrea;
2023
Abstract
In this article, some of the fundamental inequalities for the basic geometric functionals on convex bodies are described. For some of these, functional analogs and extensions have been obtained. Some of these are motivated by the calculus of variations
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