V. F. Babenko, A. A. Ligun, “The order of the best one-sided approximation by polynomials and splines in the <nobr>$L_p$</nobr>-metric”, Mat. Zametki, 1976, Volume 19, Issue 3,Pages <nobr>323

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The order of the best one-sided approximation by polynomials and splines in the $L_p$-metric

V. F. Babenko^a, A. A. Ligun^b

^a Dnepropetrovsk State University
^b Dneprodzerzhinsk Industrial Institute

Abstract: In this paper we determine the order of the best one-sided approximation by polynomials and splines of minimal defect of the classes $W^rL_p$ in the $L_p$-metric.

UDC: 517.5

Received: 31.03.1975

English version: Mathematical Notes, 1976, 19:3, 194–198

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