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Localization of Cesaro means of Fourier series for functions of bounded Λ-variation.
- Source :
- Russian Mathematics; Aug2011, Vol. 55 Issue 8, p7-10, 4p
- Publication Year :
- 2011
-
Abstract
- We consider classes of periodic functions of bounded Λ-variation, where Λ has a power growth rate. We show that this class contains a continuous function whose Cesaro means of the Fourier series (whose order depends on the growth rate of Λ) have no localization property. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1066369X
- Volume :
- 55
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Russian Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 63196076
- Full Text :
- https://doi.org/10.3103/S1066369X11080020