This article is cited in 1 paper

Approximation by cubic splines in the classes of continuously differentiable functions

V. L. Velikin

Dnepropetrovsk State University

Abstract: The problem of approximating continuously differentiable periodic functions $f(x)$ by cubic interpolation splines $s_n(f;x)$ with equidistant nodes is considered. Asymptotically exact estimates for $||f(x)-s_n(f;x)||_C$ are obtained in the classes of functions $W^1H_\omega$.

UDC: 517.5

Received: 24.08.1970

 English version: Mathematical Notes, 1972, 11:2, 133–140

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