1. bookTom 19 (2020): Zeszyt 1 (December 2020)
Informacje o czasopiśmie
License
Format
Czasopismo
eISSN
2300-133X
ISSN
2081-545X
Pierwsze wydanie
11 Dec 2014
Częstotliwość wydawania
1 raz w roku
Języki
Angielski
access type Otwarty dostęp

Jensen-type geometric shapes

Data publikacji: 31 Dec 2020
Tom & Zeszyt: Tom 19 (2020) - Zeszyt 1 (December 2020)
Zakres stron: 27 - 33
Otrzymano: 07 May 2019
Przyjęty: 26 Aug 2019
Informacje o czasopiśmie
License
Format
Czasopismo
eISSN
2300-133X
ISSN
2081-545X
Pierwsze wydanie
11 Dec 2014
Częstotliwość wydawania
1 raz w roku
Języki
Angielski
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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