Geodesic
Functions of the Lipschitz class and summability of Fourier series
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2017), pp. 83-88.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we investigate summability of the general orthonormal systems (GOS) of the functions $f(x)\in \mathrm{Lip}~1$.
Keywords: general Fourier series, summability
Mots-clés : Lebesgue function, Fourier coefficients. 
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     author = {V. Sh. Tsagareishvili},
     title = {Functions of the {Lipschitz} class and summability of {Fourier} series},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {83--88},
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V. Sh. Tsagareishvili. Functions of the Lipschitz class and summability of Fourier series. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2017), pp. 83-88. http://geodesic.mathdoc.fr/item/IVM_2017_10_a9/

[1] Banach S., “Sur la divergence des séries orthogonales”, Studia Math., 9 (1940), 139–155 | MR

[2] Aleksich G., Problemy skhodimosti ortogonalnykh ryadov, In. lit., M., 1963

[3] Tsagareishvili V. Sh., “Absolyutnaya skhodimost ryadov Fure funktsii iz klassa $\mathrm{Lip}\,1$ i funktsii ogranichennoi variatsii”, Izv. RAN. Ser. matem., 76:2 (2012), 215–224 | DOI | Zbl