Some definitions on stability of interpolating process are given and then the sufficient and necessary conditions are obtained. On this basis, we conclude that the Lagrange interpolation is unstable, ...

https://doi.org/10.4169/amer.math.monthly.123.5.471 https://www.jstor.org/stable/10.4169/amer.math.monthly.123.5.471 We study a representation for polynomial ...