- Tytuł:
- On some application of biorthogonal spline systems to integral equations
- Autorzy:
- Wronicz, Z.
- Powiązania:
- https://bibliotekanauki.pl/articles/255125.pdf
- Data publikacji:
- 2005
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
operator associated with step functions
B-splines
integral equation
approximation - Opis:
- We consider an operator PN : LP(I) -> Sn(deltaN), such that PN f = f for f mem Sn(deltaN), where Sn(deltaN) is the space of splines of degree n with repect to a given partition deltaN of the interval I. This operator is defined by means of a system of step functions biorthogonal to B-splines. Then we use this operator to approximation to the solution of the Fredholm integral equation of the second kind. Convergence rates for the aproximation of the solution of this equation are given.
- Źródło:
-
Opuscula Mathematica; 2005, 25, 1; 149-160
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł