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Best m-Term Trigonometric Approximation for Periodic Functions with Low Mixed Smoothness from the Nikol’skii–Besov-Type Classes

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Ukrainian Mathematical Journal Aims and scope

We establish the exact-order estimates of the best m-term trigonometric approximation for periodic functions of many variables (with low mixed smoothness) from the Nikol’skii–Besov-type classes.

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Authors and Affiliations

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

    S. A. Stasyuk

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 7, pp. 983–1003, July, 2016.

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Stasyuk, S.A. Best m-Term Trigonometric Approximation for Periodic Functions with Low Mixed Smoothness from the Nikol’skii–Besov-Type Classes. Ukr Math J 68, 1121–1145 (2016). https://doi.org/10.1007/s11253-016-1282-6

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  • DOI: https://doi.org/10.1007/s11253-016-1282-6

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