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Functions of the Lipschitz class and summability of Fourier series

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Abstract

In this paper we investigate summability of the general orthonormal systems (GOS) of the functions f(x) ∈ Lip 1.

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References

  1. Banach, S. Sur la Divergence des Séries Orthogonales, Studia Math. 9, 139–155 (1940).

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  2. Alexits, G. Convergence Problems of Orthogonal Series (Pergamon Press, New York, 1961; In. Lit., Moscow, 1963).

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  3. Tsagareishvili, V. Sh. Absolute Convergence of Fourier Series of Functions of the Class Lip 1 and of Functions of Bounded Variation, Izv.Math. 76, No. 2, 419–429 (2012).

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Authors and Affiliations

  1. Tbilisi State University, pr. I. Chavchavadze 1, Tbilisi, 0128, Republic of Georgia

    V. Sh. Tsagareishvili

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  1. V. Sh. Tsagareishvili
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Correspondence to V. Sh. Tsagareishvili.

Additional information

Original Russian Text © V.Sh. Tsagareishvili, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 10, pp. 83–88.

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Tsagareishvili, V.S. Functions of the Lipschitz class and summability of Fourier series. Russ Math. 61, 72–76 (2017). https://doi.org/10.3103/S1066369X17100103

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  • DOI: https://doi.org/10.3103/S1066369X17100103

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