## 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,\…

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,\…

Abstract We study the convergence of an iterative method for solving the equation \(f\left( x\right) =0,\ f:A\rightarrow B\), \(A,B\subseteq \mathbb{R}\), \(f\)…