Results on spline-Fourier and Ciesielski-Fourier series

• Autorzy: Ferenc Weisz
• Języki publikacji: EN

Abstrakty

EN

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.

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.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 72
• Numer: 1
• Strony: 367-383

Daty

wydano

2006

Twórcy

autor

Ferenc Weisz

• Department of Numerical Analysis, Eötvös L. University, H-1117 Budapest, Pázmány P. sétány 1/C, Hungary

Identyfikatory

DOI

10.4064/bc72-0-24