# 1962

## On interpolation with connected polynomials

Abstract We consider a function $$f\in C^{n-1}[a,b]$$ and the nodes $$a=x_{0}<x_{1}<\ldots<x_{m}=b$$. Given the values \begin{align}f\left( x_{i}\right) =&u_{i}, \quad i=1,…,m  \\…