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Partial sums of a trigonometric series with convex coefficients

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Literature cited

  1. A. S. Belov, “On coefficients of trigonometric cosine-series with nonnegative partial sums,” Trudy Mat. Inst. Akad. Nauk SSSR,190, 3–21, Nauka, Moscow (1989).

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  2. A. Zygmund, Trigonometric Series,1, Cambridge University Press, Second Edition, Cambridge (1959).

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  3. I. N. Pak, “On the sums of trigonometric series,” Usp. Mat. Nauk,35, No. 2, 91–144 (1980).

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  4. N. K. Bari, Trigonometric Series, A Treatise on Trigonometric Series, Pergamon Press, London (1964).

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Authors and Affiliations

  1. Ivanov University, USSR

    A. S. Belov

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  1. A. S. Belov
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Translated from Matematicheskie Zametki, Vol. 50, No. 4, pp. 21–27, October, 1991.

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Belov, A.S. Partial sums of a trigonometric series with convex coefficients. Mathematical Notes of the Academy of Sciences of the USSR 50, 1000–1004 (1991). https://doi.org/10.1007/BF01137726

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  • DOI: https://doi.org/10.1007/BF01137726

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