On approximation of functions from below by splines of the best approximation with free nodes
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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.
KeywordsQuadrature Formula Algebraic Polynomial Interpolation Node Free Node Jensen Inequality
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