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On approximation of functions from below by splines of the best approximation with free nodes
Authors:A A Shumeiko
Institution:(1) Dneprodzerzhinsk Technical University, Dneprodzerzhinsk
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.
Keywords:
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