On lower bounds for the approximation of functions by local splines with nonfixed nodes期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On lower bounds for the approximation of functions by local splines with nonfixed nodes

Authors:	A. A. Shumeiko

Abstract:	For functions integrable to the power $beta = (r + 1 + 1/p)^{ - 1}$ , we obtain asymptotically exact lower bounds for the approximation by local splines of degree r and defect k< r/2 in the metric of L _p

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