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Piecewise convex interpolation

Abstract Let \(n\in N\) and the following two systems of \(n+1\) real values: \[ 0=x_{0}<x_{1}<\ldots<x_{n}=1 \] \[ 0=y_{0},\ y_{1},\ \ldots,\…

Interpolating convex polynomials

AbstractIn this paper we define the piecewise retarded convex interpolating polynomials and piecewise anticipated convex interpolating polynomials. An existence theorem…