- Tytuł:
- Uniform approximation by polynomials with integer coefficients
- Autorzy:
- Lipnicki, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/254816.pdf
- Data publikacji:
- 2016
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
approximation by polynomials with integer coefficients
lattice
covering radius - Opis:
- Let r, n be positive integers with n ≥ 6r. Let P be a polynomial of degree at most n on [0,1] with real coefficients, such that [formula] are integers for k = 0,…, r — 1. It is proved that there is a polynomial Q of degree at most n with integer coefficients such that [formula] for x ∈ [0,1], where C1, C2 are some numerical constants. The result is the best possible up to the constants.
- Źródło:
-
Opuscula Mathematica; 2016, 36, 4; 489-498
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł