- Tytuł:
- Subadditive functions and partial converses of Minkowski's and Mulholland's inequalities
- Autorzy:
-
Matkowski, J.
Świątkowski, T. - Powiązania:
- https://bibliotekanauki.pl/articles/1208624.pdf
- Data publikacji:
- 1993
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
subadditive function
homeomorphisms of $ℝ_+$
Mulholland's inequality
convex function
iteration
measure space
the converse of Minkowski's inequality - Opis:
- Let ϕ be an arbitrary bijection of $ℝ_+$. We prove that if the two-place function $ϕ^{-1}[ϕ (s)+ϕ (t)]$ is subadditive in $ℝ^2_+$ then $ϕ $ must be a convex homeomorphism of $ℝ_+$. This is a partial converse of Mulholland's inequality. Some new properties of subadditive bijections of $ℝ_+$ are also given. We apply the above results to obtain several converses of Minkowski's inequality.
- Źródło:
-
Fundamenta Mathematicae; 1993, 143, 1; 75-85
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł