Influence of smoothness on the error of approximation of derivatives under local interpolation on triangulations (Q742271)

In this paper the author shows that, for a large number of methods of choosing interpolation conditions, the effect of the smallest angle of the triangle on the error of approximation of derivatives of a function by derivatives of the interpolation polynomial for \(m \geq 1\) is essential only for derivatives of order 2 and higher. She gives an very interesting result about multivariate interpolation.