1. bookVolume 19 (2020): Edizione 1 (December 2020)
Dettagli della rivista
License
Formato
Rivista
eISSN
2300-133X
ISSN
2081-545X
Prima pubblicazione
11 Dec 2014
Frequenza di pubblicazione
1 volta all'anno
Lingue
Inglese
access type Accesso libero

Jensen-type geometric shapes

Pubblicato online: 31 Dec 2020
Volume & Edizione: Volume 19 (2020) - Edizione 1 (December 2020)
Pagine: 27 - 33
Ricevuto: 07 May 2019
Accettato: 26 Aug 2019
Dettagli della rivista
License
Formato
Rivista
eISSN
2300-133X
ISSN
2081-545X
Prima pubblicazione
11 Dec 2014
Frequenza di pubblicazione
1 volta all'anno
Lingue
Inglese
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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