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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 11, Pages 3–11 (Mi ivm4250)  
Absolute convergence of Fourier series of superpositions of functions

G. A. Akishev

Chair of Mathematical Analysis, Karaganda State University, Karaganda, Republic of Kazakhstan
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Abstract: In this paper we establish conditions for the absolute convergence of series of Fourier coefficients with respect to a generalized Haar system of a superposition of two functions.
Keywords: Fourier coefficients, Haar system, superposition.
Received: 20.06.2007
Revised: 04.11.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 11, Pages 1–8
DOI: https://doi.org/10.3103/S1066369X09110012
Bibliographic databases:
UDC: 517.518
Language: Russian
Citation: G. A. Akishev, “Absolute convergence of Fourier series of superpositions of functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 11, 3–11; Russian Math. (Iz. VUZ), 53:11 (2009), 1–8
Citation in format AMSBIB
\Bibitem{Aki09}
\by G.~A.~Akishev
\paper Absolute convergence of Fourier series of superpositions of functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 11
\pages 3--11
\mathnet{http://mi.mathnet.ru/ivm4250}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2657235}
\zmath{https://zbmath.org/?q=an:1178.42025}
\elib{https://elibrary.ru/item.asp?id=12869346}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 11
\pages 1--8
\crossref{https://doi.org/10.3103/S1066369X09110012}
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