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Asymptotic behavior of the best approximations for the functions inL p

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Ukrainian Mathematical Journal Aims and scope

Abstract

The asymptotic behavior of the ratioE n (f)p/ω(f, α/ n) p is studied for individual periodic functionsf εLp

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References

  1. V. I. Berdyshev, “On the Jackson theorem in Lp,”Tr. Mat. Inst. Akad. Nauk SSSR,88, 3–16 (1967).

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  3. N. P. Korneichuk,Exact Constants in the Approximation Theory [in Russian], Nauka, Moscow (1987).

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  4. S. A. Pichugov, “Yung constant of the spaceL p,”Mat. Zametki,43, No. 5, 604–614 (1988).

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Authors and Affiliations

  1. Dnepropetrovsk University, Dnepropetrovsk

    S. A. Pichugov

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  1. S. A. Pichugov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 6, pp. 867–870, June, 1993.

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Pichugov, S.A. Asymptotic behavior of the best approximations for the functions inL p . Ukr Math J 45, 959–963 (1993). https://doi.org/10.1007/BF01061447

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  • DOI: https://doi.org/10.1007/BF01061447

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