This article is cited in 3 papers

The approximation of periodic differentiable functions by splines with respect to a uniform partition

A. A. Zhensykbaev

Dnepropetrovsk State University

Abstract: We solve the problem of determining exact estimates for the approximation by $r$-th order splines of the class $W^{r+1}$ in the metrics $C$ and $L_p$ ($1\le p<\infty$).

UDC: 517.5

Received: 17.07.1972

 English version: Mathematical Notes, 1973, 13:6, 483–489

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