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Jackson-type theorems for monotone approximation of functions by trigonometric polynomials

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Literature cited

  1. A. Yu. Sadrin, “Monotone approximation of functions by trigonometric polynomials,” Mat. Zametki,34, No. 3, 375–386 (1983).

    Google Scholar 

  2. A. S. Andreev, V. A. Popov, and Bl. Sendov, “Jackson-type theorems for best unilateral approximations by trigonometric polynomials and splines,” Mat. Zametki,26, No. 5, 791–804 (1979).

    Google Scholar 

  3. V. A. Popov and A. S. Andreev, “Steckin's type theorems for one-sided trigonometrical and spline approximation,” C. R. Acad. Bulg. Sci.,31, No. 2, 151–154 (1978).

    Google Scholar 

  4. A. S. Andreev, V. A. Popov, and Bl. Sendov, “Estimates of the error of the numerical solution of ordinary differential equations,” Zh. Vychisl. Mat. Mat. Fiz.,21, No. 3, 635–650 (1981).

    Google Scholar 

  5. V. A. Popov, “Function spaces, generated by the averaged moduli of smoothness,” Pliska,5, 132–143 (1983).

    Google Scholar 

  6. A. Yu. Sadrin, “Orders of one-sided approximations of functions in LP-metric,” Anal. Math.,12, 175–184 (1986).

    Google Scholar 

  7. V. A. Popov, “Local approximation of functions,” Mat. Zametki,17, No. 3, 369–382 (1975).

    Google Scholar 

  8. V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  9. E. P. Dolzhenko and E. A. Sevast'yanov, “Approximation of functions in the Hausdorff metric by piecewise monotone (in particular rational) functions,” Mat. Sb.,101, 508–541 (1976).

    Google Scholar 

  10. K. G. Ivanov, “On the rates of convergence of two moduli of functions,” Pliska,5, 97–104 (1983).

    Google Scholar 

  11. N. P. Korneichuk, A. A. Ligun, and V. G. Doronin, Approximation with Restrictions [in Russian], Naukova Dumka, Kiev (1982).

    Google Scholar 

  12. A. Yu. Sadrin, “Jackson-type theorems for monotone approximation of functions by trigonometric polynomials and splines,” Dep. in All-Union Institute of Scientific Information (VINITI). No. 8686-B, Dec. 17, 1985.

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Translated from Matematicheskie Zametki, Vol. 42, No. 6, pp. 790–809, December, 1987.

The author thanks S. B. Stechkin for directing the work.

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Shadrin, A.Y. Jackson-type theorems for monotone approximation of functions by trigonometric polynomials. Mathematical Notes of the Academy of Sciences of the USSR 42, 933–944 (1987). https://doi.org/10.1007/BF01137449

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