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Absolute convergence of fourier series of superpositions of functions

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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.

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Authors and Affiliations

  1. Karaganda State University, ul. Universitetskaya 28, Karaganda, 100028, Republic of Kazakhstan

    G. A. Akishev

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  1. G. A. Akishev
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Correspondence to G. A. Akishev.

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Original Russian Text © G.A. Akishev, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 11, pp. 3–11.

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Akishev, G.A. Absolute convergence of fourier series of superpositions of functions. Russ Math. 53, 1–8 (2009). https://doi.org/10.3103/S1066369X09110012

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  • DOI: https://doi.org/10.3103/S1066369X09110012

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