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Monotone approximation of functions by trigonometric polynomials

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Literature cited

  1. T. Ganelius, “On one-sided approximation by trigonometric polynomials,” Math. Scand.,4, 247–256 (1956).

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  2. V. F. Babenko and A. A. Ligun, “Order of best one-sided approximations by polynomials and splines in the Lp metric,” Mat. Zametki,19, No. 3, 323–329 (1976).

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  3. A. Andreev, V. A. Popov, and B. I. Sendov, “Theorems of Jackson type for best one-sided approximations by trigonometric polynomials and splines,” Mat. Zametki,26, No. 5, 791–804 (1979).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    A. Yu. Shadrin

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  1. A. Yu. Shadrin
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Translated from Matematicheskie Zametki, Vol. 34, No. 3, pp. 375–386, September, 1983.

The author would like to thank S. B. Stechkin for his unfailing interest in this research.

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Shadrin, A.Y. Monotone approximation of functions by trigonometric polynomials. Mathematical Notes of the Academy of Sciences of the USSR 34, 669–675 (1983). https://doi.org/10.1007/BF01140347

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  • DOI: https://doi.org/10.1007/BF01140347

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