This article is cited in 9 papers

Exact bounds for the uniform approximation of continuous periodic functions by $r$-th order splines

A. A. Zhensykbaev

Dnepropetrovsk State University

Abstract: We solve the problem of determining exact bounds for the uniform approximation of continuous periodic functions by $r$-th order interpolation splines in a space $C$ and on a class $H_\omega$ specified by the convex modulus of continuity $\omega(t)$.

UDC: 517

Received: 06.12.1971

 English version: Mathematical Notes, 1973, 13:2, 130–136

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