- Tytuł:
- Polynomial selections and separation by polynomials
- Autorzy:
- Wąsowicz, Szymon
- Powiązania:
- https://bibliotekanauki.pl/articles/1287380.pdf
- Data publikacji:
- 1996
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
separation theorem
set-valued function
selection
n-convex function
n-concave function
affine function
Helly's theorem
Lagrange interpolating polynomial - Opis:
- K. Nikodem and the present author proved in [3] a theorem concerning separation by affine functions. Our purpose is to generalize that result for polynomials. As a consequence we obtain two theorems on separation of an n-convex function from an n-concave function by a polynomial of degree at most n and a stability result of Hyers-Ulam type for polynomials.
- Źródło:
-
Studia Mathematica; 1996, 120, 1; 75-82
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł