Bernstein-type operators on triangles

Abstract

The aim of the paper is to construct some univariate Bernstein-type operators on triangle, their product and Boolean sum, which interpolate a given function on the edges respectively at the vertices of triangle. Using the modulus of continuity and the Peano's theorem the remainders of corresponding approximation formulas are studied.

Keywords

• Bernstein operator
• product operator
• Boolean sum operator
• modulus of continuity
• error evaluation