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Asymptotic behavior of the best approximations for the functions inL p

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Abstract

The asymptotic behavior of the ratioE n (f)p(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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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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