Jensen-type geometric shapes
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...
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| Format: | Article |
| Language: | deu |
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Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
2019-12-01
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| Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| Subjects: | |
| Online Access: | https://studmath.up.krakow.pl/index.php/studmath/article/view/7120 |