APPROXIMATION OF THE SMOOTH FUNCTIONS BY CHEBYSHEV’S POLYNOMIALS AND ITS APPLICATION
Authors:
Type:
Article
Pages:
from 446
to 449
Status:
Published
Received:
29.08.2014
Accepted:
07.10.2014
Published:
07.10.2014
Language:
Russian
Keywords:
smooth functions, orthogonal polynomials
Abstract (English):
The article constructs the orthogonal Chebyshev’s polynomials with the view of the application of these polynomials for the approximation of the smooth functions.
The article constructs the orthogonal Chebyshev’s polynomials with the view of the application of these polynomials for the approximation of the smooth functions.
Keywords:
smooth functions, orthogonal polynomials
smooth functions, orthogonal polynomials
Полиномы Чебышева обладают рядом весьма интересных и полезных свойств. Именно они и позволяют использовать данные полиномы для построения и описания широкого круга моделей объектов и процессов в различных областях техники и физики.
1. Sege G. Ortogonal´nye mnogochleny. M.: Fizmatgiz, 1962.
2. Sharapudinov I. I. Nekotorye svoystva mnogochlenov, ortogonal´nykh na konechnoy sisteme tochek. Izv. VUZov. Matematika. 1983. № 5. S. 85-88.
