Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Some recent results on spline-Fourier and Ciesielski-Fourier series are summarized. The convergence of spline Fourier series and the basis properties of the spline systems are considered. Some classical topics, that are well known for trigonometric and Walsh-Fourier series, are investigated for Ciesielski-Fourier series, such as inequalities for the Fourier coefficients, convergence a.e. and in norm, Fejér and θ-summability, strong summability and multipliers. The connection between Fourier series and Hardy spaces is studied.
Słowa kluczowe
Kategorie tematyczne
- 42A24: Summability and absolute summability of Fourier and trigonometric series
- 40F05: Absolute and strong summability (should also be assigned at least one other classification number in Section 40)
- 41A15: Spline approximation
- 42B08: Summability
- 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
Czasopismo
Rocznik
Tom
Numer
Strony
367-383
Opis fizyczny
Daty
wydano
2006
Twórcy
autor
- Department of Numerical Analysis, Eötvös L. University, H-1117 Budapest, Pázmány P. sétány 1/C, Hungary
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-24