An Expository Lecture of María Jesús Chasco on Some Applications of Fubini’s Theorem

Axioms

María Jesús Chasco¹  Eusebio Corbacho²  Virgilio Rodríguez de Miguel²  Alberto Castejón² 

[1] Departamento de Física y Matemática Aplicada, University of Navarra, 31009 Pamplona, Spain;Departamento de Matemática Aplicada I, University of Vigo, 36310 Vigo, Spain;

关键词: Fubini’s theorem;    Brunn–Minkowski inequality;    isoperimetric inequality;    volumes of section of balls;   

DOI  :  10.3390/axioms10030225

来源: DOAJ

【 摘 要 】

The usefulness of Fubini’s theorem as a measurement instrument is clearly understood from its multiple applications in Analysis, Convex Geometry, Statistics or Number Theory. This article is an expository paper based on a master class given by the second author at the University of Vigo and is devoted to presenting some Applications of Fubini’s theorem. In the first part, we present Brunn–Minkowski’s and Isoperimetric inequalities. The second part is devoted to the estimations of volumes of sections of balls in ${\mathbb{R}}^n$.

【 授权许可】

Unknown