An Expository Lecture of María Jesús Chasco on Some Applications of Fubini’s Theorem
Autor: | Alberto Castejón, Virgilio Rodríguez de Miguel, Eusebio Corbacho, María Jesús Chasco |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
Logic
MathematicsofComputing_GENERAL 1206 Análisis Numérico 1205 Teoría de Números 1204 Geometría Fubini's theorem Calculus volumes of section of balls QA1-939 Mathematics::Metric Geometry Fubini’s theorem Brunn–Minkowski inequality isoperimetric inequality Mathematical Physics Mathematics Algebra and Number Theory Convex geometry Multiple applications Paper based Number theory Computer Science::Programming Languages Geometry and Topology Isoperimetric inequality Analysis |
Zdroj: | Axioms; Volume 10; Issue 3; Pages: 225 Investigo. Repositorio Institucional de la Universidade de Vigo Universidade de Vigo (UVigo) Axioms, Vol 10, Iss 225, p 225 (2021) |
ISSN: | 2075-1680 |
DOI: | 10.3390/axioms10030225 |
Popis: | 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 Rn. |
Databáze: | OpenAIRE |
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