Bernstein-type operators on tetrahedrons. (English) Zbl 1224.41067

The authors introduce Bernstein-type operators on a tetrahedron with all straight edges and on a tetrahedron with three curved edges defined by some given functions. The interpolation properties, the approximation accuracy and the remainder of the corresponding approximation formulas are studied.


41A35 Approximation by operators (in particular, by integral operators)
41A36 Approximation by positive operators
41A80 Remainders in approximation formulas