Geodesic
Localization of Cesaro means of Fourier series for functions of bounded $\Lambda$-variation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 9-13 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{IVM_2011_8_a1,
     author = {A. N. Bakhvalov},
     title = {Localization of {Cesaro} means of {Fourier} series for functions of bounded $\Lambda$-variation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {9--13},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2011_8_a1/}
}
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A. N. Bakhvalov. Localization of Cesaro means of Fourier series for functions of bounded $\Lambda$-variation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 9-13. http://geodesic.mathdoc.fr/item/IVM_2011_8_a1/

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