Interpolation operators on a triangle with one curved side (Q981668)

This paper is about remainder formulae and orders of accuracy of interpolation methods. The interpolation schemes consist of either Lagrange interpolation, Hermite interpolation or even Hermite--Birkhoff interpolation conditions. The interpolation takes place in two dimensions on triangles with one curved side, such as quarter-disks. The approximation estimates are derived via classical Peano kernel methods and numerical examples are included.