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Coapproximation of functions convex on a disk by algebraic polynomials

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Abstract

An estimate is obtained for the approximation of convex functions of two variables with bounded second derivatives on a disk by convex algebraic polynomials.

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References

  1. A. S. Shvedov, “Orders of coapproximation of functions by algebraic polynomials,”Mat. Zametki,29, No. 1, 117–130 (1981).

    Google Scholar 

  2. A. S. Shvedov, “Comonotone polynomial approximation of functions,”Dokl. Akad. Nauk SSSR,250, No. 1, 39–42 (1980).

    Google Scholar 

  3. R. A. De Vore and X. M. Yu, “Pointwise estimates for monotone polynomial approximation,”Constr. Approx.,1, No. 4, 323–331 (1985).

    Google Scholar 

  4. D. Leviatan, “Pointwise estimates for convex polynomial approximation,”Proc. Am. Math. Soc.,98, No. 3, 471–474 (1986).

    Google Scholar 

  5. X. M. Yu, “Convex approximation of differentiable function,”Approx. Theory Appl.,4, No. 4, 29–33 (1988).

    Google Scholar 

  6. A. S. Shvedov, “Coconvex polynomial approximation of functions of many variables,”Mat. Sb.,115 (157), No. 4 (8), 577–589 (1981).

    Google Scholar 

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

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 9, pp. 1115–1122, September, 1994.

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Budnik, V.G. Coapproximation of functions convex on a disk by algebraic polynomials. Ukr Math J 46, 1225–1234 (1994). https://doi.org/10.1007/BF01059414

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  • DOI: https://doi.org/10.1007/BF01059414

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