On Fourier coefficients of some classes of functions and their applications in approximation theory

• Autorzy: E.J. Ibrahimov
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Fourier-Gegenbauer series; convergence; asymptotic estimation; Gegenbauer transform; strong derivative and of Gegenbauer integral; generalized shift function

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2014
• Tom: 54
• Numer: 2

Daty

wydano

2014

online

2014-12-15

Twórcy

autor

E.J. Ibrahimov

Identyfikatory

DOI

10.14708/cm.v54i2.704