×

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.

MSC:

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