A mixed interpolation-regression approximation operator on the triangle (Q6632484)

This paper extends the constrained mock-Chebyshev least squares approximation, successful on rectangular domains, to triangular domains, addressing applications in fields like computational geometry and computer graphics. By using both Waldron points and the well-known discrete Leja points, the method ensures precise interpolation while mitigating the Runge phenomenon often encountered in polynomial interpolation. Numerical results confirm the proposed method's accuracy.