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The general form of a linear functional and a criteria for a best approximation polynomial in a space with mixed integral metric

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Literature cited

  1. V. K. Dzyadyk, “On the application of linear methods to polynomial approximation of functions which are solutions of Fredholm integral equations of the second type,” Ukrainsk. Matem. Zh.,22, No. 4 (1970).

  2. V. K. Dzyadyk, “On the application of linear methods to polynomial approximation of functions which are solutions of Fredholm integral equations of the second type,” Ukrainsk. Matem. Zh.,22, No. 5 (1970).

  3. M. A. Krasnosel'skii, P. P. Zabreiko, E. I. Pustynnik, and P. E. Sobolevskii, Integral Operators in the Space of Summable Functions [in Russian], Nauka, Moscow (1968).

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  4. A. I. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis [in Russian], Nauka, Moscow (1968).

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  5. L. A. Lyusternik and V. I. Sobolev, Elements of Functional Analysis [in Russian], Nauka, Moscow (1965).

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  6. S. M. Nikol'skii, “Mean approximation of functions by trigonometric polynomials,” Izv. Akad. Nauk SSSR, Ser. Matem.,10, No. 3 (1946).

  7. A. F. Timan, Theory of Approximation of Function of a Real Variable [in Russian], Fizmatgiz, Moscow (1960).

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Authors and Affiliations

  1. Kiev State University, USSR

    G. S. Smirnov

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  1. G. S. Smirnov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 1, pp. 134–138, January–February, 1973.

The author wishes to thank V. K. Dzyadyk for the statement of the problem and his assistance on the paper.

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Smirnov, G.S. The general form of a linear functional and a criteria for a best approximation polynomial in a space with mixed integral metric. Ukr Math J 25, 116–120 (1973). https://doi.org/10.1007/BF01085405

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  • DOI: https://doi.org/10.1007/BF01085405

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