A.-R. K. Ramazanov, V. G. Magomedova, “Convex interpolation by rational spline functions of class <nobr>$ C ^ 2 $</nobr>”, Daghestan Electronic Mathematical Reports, 2018, Issue 9,Pages <nobr>62

Convex interpolation by rational spline functions of class $ C ^ 2 $

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

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

Abstract: Sufficient conditions are established for the convexity of interpolation rational spline-functions of the class $C^2$.

Keywords: convex interpolation, interpolation splines, rational spline-functions.

UDC: 517.5

Received: 02.07.2018
Revised: 27.07.2018
Accepted: 30.07.2018

DOI: 10.31029/demr.9.7