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Criteria for the polynomials of best approximation in the spaces Lp,1 and L1,q

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. G. S. Smirnov, “General form of a continuous linear functional and a criterion for the polynomial of best approximation in spaces with product integral metric,” Ukrainsk. Matem. Zh.,25, No. 1 (1973).

  2. S. M. Nikol'skii, “Approximation of functions in the mean by trigonometrical polynomials,” Izv. Akad. Nauk SSSR, Ser. Matem,10, No. 3 (1946).

  3. J. R. Rice, The Approximation of Functions, Vol. 1, Linear Theory, Addison-Wesley, Reading (Mass.) (1964).

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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. 3, pp. 415–419, May–June, 1973.

The author is thankful to V. K. Dzyadyk for suggesting the problem and for help in the preparation of this article.

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Smirnov, G.S. Criteria for the polynomials of best approximation in the spaces Lp,1 and L1,q . Ukr Math J 25, 344–347 (1973). https://doi.org/10.1007/BF01091890

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  • DOI: https://doi.org/10.1007/BF01091890

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