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On approximation of functions from below by splines of the best approximation with free nodes

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Abstract

Let M be the set of functions integrable to the power β=(r+1+1/p)-1. We obtain asymptotically exact lower bounds for the approximation of individual functions from the set M by splines of the best approximation of degree rand defect k in the metric of L p.

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  1. Dneprodzerzhinsk Technical University, Dneprodzerzhinsk

    A. A. Shumeiko

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  1. A. A. Shumeiko
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Shumeiko, A.A. On approximation of functions from below by splines of the best approximation with free nodes. Ukr Math J 52, 586–599 (2000). https://doi.org/10.1007/BF02515398

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  • DOI: https://doi.org/10.1007/BF02515398

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