Interpolation Operators on Some Triangles with Curved Sides

Abstract

This paper contains a survey regarding interpolation and Bernstein-type operators defined on triangles having one or all curved sides; we consider as well some of the product and Boolean sum operators. We study the interpolation properties, the orders of accuracy and the remainders of the generated approximation formulas.Mathematics Subject Classification 2010: 41A05, 41A25, 41A80.