- Tytuł:
- On Fourier coefficients of some classes of functions and their applications in approximation theory
- Autorzy:
- Ibrahimov, E.J.
- Powiązania:
- https://bibliotekanauki.pl/articles/746459.pdf
- Data publikacji:
- 2014
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
Fourier-Gegenbauer series
convergence
asymptotic estimation
Gegenbauer transform
strong derivative and of Gegenbauer integral
generalized shift function - Opis:
- In the paper, the behavior of Fourier coefficients of some classes of functions on an arbitrary orthogonal system is studied. The estimates of order of convergence to zero of Fourier-Gegenbauer coefficients are found. These estimates are precise and are of terminal character. The obtained results are used in convergence of Fourier-Gegenbauer series.
- Źródło:
-
Commentationes Mathematicae; 2014, 54, 2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł