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Approximating Characteristics of the Classes L ψ β,p of Periodic Functions in the Space L q

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Ukrainian Mathematical Journal Aims and scope

We obtain the exact-order estimates of the best m-term and orthogonal trigonometric approximations and establish the order of trigonometric widths for the classes L ψ β,p in the space L q for some relations between the parameters p and q.

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Authors and Affiliations

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

    V. V. Shkapa

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  1. V. V. Shkapa
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 8, pp. 1139–1150, August, 2015. Original article submitted October 31, 2014.

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Shkapa, V.V. Approximating Characteristics of the Classes L ψ β,p of Periodic Functions in the Space L q . Ukr Math J 67, 1283–1295 (2016). https://doi.org/10.1007/s11253-016-1152-2

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