Table 3
A qualitative comparison of the algorithms. The least squares and uniform columns refer to how well the algorithms perform in terms of producing such approximations in the algebraic error function.
  Least squares  Uniform  Stability  Generality 
 Lagrange  Good  Ok  Ok  Any  Legendre  Very good  Good  Ok  Rational  Chebyshev  Very good  Very good  Ok  Rational  Bernstein  Ok  Ok  Very good  Rational  Weak  Very good  Ok  Very bad  Integrable 

