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Estimates for the best asymmetric approximations of asymmetric classes of functions

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Ukrainian Mathematical Journal Aims and scope

We obtain asymptotically sharp estimates for the best (α, β) -approximations of the classes \( W_{1;\upgamma, \updelta }^r \) with natural r by algebraic polynomials in the mean.

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Authors and Affiliations

  1. Dnepropetrovsk National University, Dnepropetrovsk, Ukraine

    V. P. Motornyi & A. N. Pas’ko

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  1. V. P. Motornyi
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  2. A. N. Pas’ko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 6, pp. 798–808, June, 2011.

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Motornyi, V.P., Pas’ko, A.N. Estimates for the best asymmetric approximations of asymmetric classes of functions. Ukr Math J 63, 927–939 (2011). https://doi.org/10.1007/s11253-011-0553-5

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  • DOI: https://doi.org/10.1007/s11253-011-0553-5

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