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Approximation of the Classes H Ω p of Periodic Functions of Many Variables in the Space L p

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Ukrainian Mathematical Journal Aims and scope

We establish upper estimates for the approximation of the classes H Ω p of periodic functions of many variables by polynomials constructed by using the system obtained as the tensor product of the systems of functions of one variable. These results are then used to establish the exact-order estimates of the orthoprojective widths for the classes H Ω p in the space L p with p ∈ {1, ∞}.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    N. V. Derev’yanko

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  1. N. V. Derev’yanko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 5, pp. 634–644, May, 2014.

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Derev’yanko, N.V. Approximation of the Classes H Ω p of Periodic Functions of Many Variables in the Space L p . Ukr Math J 66, 707–718 (2014). https://doi.org/10.1007/s11253-014-0966-z

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  • DOI: https://doi.org/10.1007/s11253-014-0966-z

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