- Tytuł:
- Level sets of continuous functions increasing with respect to each variable
- Autorzy:
- Sajbura, Katarzyna
- Powiązania:
- https://bibliotekanauki.pl/articles/729642.pdf
- Data publikacji:
- 2005
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
level set
continuous function
function increasing with respect to each variable
arcwise connectedness - Opis:
-
We are going to prove that level sets of continuous functions increasing with respect to each variable are arcwise connected (Theorem 3) and characterize those of them which are arcs (Theorem 2). In [3], we will apply the second result to the classical linear functional equation
φ∘f = gφ + h
(cf., for instance, [1] and [2]) in a case not studied yet, where f is given as a pair of means, that is so-called mean-type mapping. - Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2005, 25, 1; 19-26
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł