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

• Autorzy: Ibrahimov E. J.

Identyfikatory

DOI

10.14708/cm.v54i2.704

• 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: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2014
• Tom: Vol 54, No. 2
• Strony: 209--246
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Ibrahimov E. J.

• Azerbaijan State Oil Academy 20, Azadliq Ave., Baku, Az1010, Azerbaijan

Bibliografia

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