Some footprints of Marcinkiewicz in summability theory

• Autorzy: Ferenc Weisz
• Języki publikacji: EN

Abstrakty

EN

Four basic results of Marcinkiewicz are presented in summability theory. We show that setting out from these theorems many mathematicians have reached several nice results for trigonometric, Walsh- and Ciesielski-Fourier series.

Kategorie tematyczne

• 40F05: Absolute and strong summability (should also be assigned at least one other classification number in Section 40)
• 42A24: Summability and absolute summability of Fourier and trigonometric series
• 41A15: Spline approximation
• 42B08: Summability
• 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
• 42B30: H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 95
• Numer: 1
• Strony: 399-413

Daty

wydano

2011

Twórcy

autor

Ferenc Weisz

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

Identyfikatory

DOI

10.4064/bc95-0-25