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Estimation of error of polynomial approximation of solutions of ordinary differential equations

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Literature cited

  1. V. K. Dzyadyk, “Method of approximation of solutions of linear differential equations by algebraic polynomials,” Izv. Akad. Nauk SSSR, Ser. Mat.,38, No. 4, 937–967 (1974).

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  2. S. N. Bernshtein, “Limiting the values of a polynomial Pn(x) in the entire interval on the basis of its values at n + 1 points,” in: Collected Works,2, 107–126, Izd. Akad. Nauk SSSR, Moscow (1954).

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  3. V. K. Dzyadyk, “Error estimation by method of nets in the theory of Chebyshev approximation of functions,” Dopov. Akad. Nauk Ukr. SSR, Ser. A, No. 6, 500–504 (1971).

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

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, USSR

    V. K. Dzyadyk

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  1. V. K. Dzyadyk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.31, No.1, pp. 83–89, January–February, 1979.

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Dzyadyk, V.K. Estimation of error of polynomial approximation of solutions of ordinary differential equations. Ukr Math J 31, 65–69 (1979). https://doi.org/10.1007/BF01086443

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  • DOI: https://doi.org/10.1007/BF01086443

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