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Analog of Bernstein's theorem in the spaceL 1

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References

  1. S. N. Bernstein,Selected Papers [in Russian], Vol. 2, Akad. Nauk SSSR, Moscow-Leningrad (1954).

    Google Scholar 

  2. A. N. Morozov, “Exact asymptotic formulas for piecewise polynomial approximations of differentiable functions,” in:Computer Systems Architecture and Software. Collection of papers, Yaroslavl' (1992), pp. 148–167.

  3. G M. Phillips, “Error estimates for best approximation,” in:Approximation Theory, Academic Press, London (1971), pp. 1–6.

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  4. Yu. A. Brudnii, “Tests for existence of derivatives inL p ,”Mat. Sb.,73 (115), No. 1, 43–71 (1967).

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  5. Yu. A. Brudnii, “Spaces defined in terms of local approximations,”Tr. Mosk. Mat. Obshch.,24, 69–132 (1971).

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  6. J. Bergh and J. Löfström,Interpolation Spaces: An Introduction, Springer-Verlag, Berlin (1976).

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Authors and Affiliations

  1. Yaroslavl' State University, USSR

    A. N. Morozov

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  1. A. N. Morozov
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Translated from Matematicheskie Zametki, Vol. 57, No. 5, pp. 699–703, May, 1995.

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Morozov, A.N. Analog of Bernstein's theorem in the spaceL 1 . Math Notes 57, 485–488 (1995). https://doi.org/10.1007/BF02304417

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  • DOI: https://doi.org/10.1007/BF02304417

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