Interpolation operators on a tetrahedron with three curved edges. (English) Zbl 1194.41005

Summary: We construct Lagrange, Hermite and Birkhoff-type operators, which interpolate a given function and some of its derivatives on the border of a tetrahedron with three straight edges and three curved edges; we consider as well some of their product and boolean sum operators. We study the interpolation properties and the order of accuracy of the constructed operators. Finally, we give some applications and numerical examples.


41A05 Interpolation in approximation theory
41A25 Rate of convergence, degree of approximation


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