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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 8, Pages 9–13 (Mi ivm7860)  
Localization of Cesaro means of Fourier series for functions of bounded $\Lambda$-variation

A. N. Bakhvalov

Faculty of Mathematics and Mechanics, Moscow State University, Moscow, Russia
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Abstract: We consider classes of periodic functions of bounded $\Lambda$-variation of the power order of growth $\Lambda$. We show that this class contains a continuous function whose Cesaro means (of a power that depends on the order of growth $\Lambda$) of the Fourier series do not satisfy the localization property.
Keywords: Cesaro means, generalized variation.
Received: 19.04.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 8, Pages 7–10
DOI: https://doi.org/10.3103/S1066369X11080020
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: A. N. Bakhvalov, “Localization of Cesaro means of Fourier series for functions of bounded $\Lambda$-variation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8, 9–13; Russian Math. (Iz. VUZ), 55:8 (2011), 7–10
Citation in format AMSBIB
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\by A.~N.~Bakhvalov
\paper Localization of Cesaro means of Fourier series for functions of bounded $\Lambda$-variation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 8
\pages 9--13
\mathnet{http://mi.mathnet.ru/ivm7860}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2919342}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 8
\pages 7--10
\crossref{https://doi.org/10.3103/S1066369X11080020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051688988}
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