1. bookVolumen 19 (2020): Edición 1 (December 2020)
Detalles de la revista
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Formato
Revista
eISSN
2300-133X
ISSN
2081-545X
Primera edición
11 Dec 2014
Calendario de la edición
1 tiempo por año
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access type Acceso abierto

Jensen-type geometric shapes

Publicado en línea: 31 Dec 2020
Volumen & Edición: Volumen 19 (2020) - Edición 1 (December 2020)
Páginas: 27 - 33
Recibido: 07 May 2019
Aceptado: 26 Aug 2019
Detalles de la revista
License
Formato
Revista
eISSN
2300-133X
ISSN
2081-545X
Primera edición
11 Dec 2014
Calendario de la edición
1 tiempo por año
Idiomas
Inglés
Abstract

We present both necessary and sufficient conditions for a convex closed shape such that for every convex function the average integral over the shape does not exceed the average integral over its boundary.

It is proved that this inequality holds for n-dimensional parallelotopes, n-dimensional balls, and convex polytopes having the inscribed sphere (tangent to all its facets) with the centre in the centre of mass of its boundary.

Keywords

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