Abstract:
We obtain both necessary conditions and sufficient conditions for the absolute convergence of the series of Fourier coefficients with respect to the Faber–Schauder system for composite functions of various classes.
\Bibitem{Sab72}
\by T.~N.~Saburova
\paper Composite functions and their series in the Faber--Schauder system
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 2
\pages 395--415
\mathnet{http://mi.mathnet.ru/eng/im2302}
\crossref{https://doi.org/10.1070/IM1972v006n02ABEH001879}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=306799}
\zmath{https://zbmath.org/?q=an:0244.42030}
Linking options:
https://www.mathnet.ru/eng/im2302
https://doi.org/10.1070/IM1972v006n02ABEH001879
https://www.mathnet.ru/eng/im/v36/i2/p401
This publication is cited in the following 1 articles:
S. A. Chumachenko, “Gladkie approksimatsii v $C[0, 1]$”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 20:3 (2020), 326–342
Citation in format AMSBIB
Contact us: