A.-R. K. Ramazanov, V. G. Magomedova, “On best approximations of continuously differentiable functions by splines with respect to two-point rational interpolants”, Daghestan Electronic Mathematical Reports, 2016, Issue 5,Pages <nobr>49

On best approximations of continuously differentiable functions by splines with respect to two-point rational interpolants

A.-R. K. Ramazanov^ab, V. G. Magomedova^a

^a Daghestan State University
^b Daghestan Scientific Centre of Russian Academy of Sciences

Abstract: Estimates of degree of the best spline-approximation by means of two-points rational interpolant for continuously differentiable functions on a given segment are obtained.

Keywords: interpolation splines, rational splines, best spline-approximation.

UDC: 517.5

Received: 24.05.2016
Revised: 29.06.2016
Accepted: 30.06.2016

DOI: 10.31029/demr.5.5