Degree Of Convergence Of Quasi-Hermite-Fejér Interpolation
Given an irreducible algebraic curves in , let be the dimension of the complex vector space of all holomorphic polynomials of degree at most restricted to . Let be a nonpolar compact subset of , and for each choose points in . Finally, let be the -th Lebesgue constant of the array ; i.e., is the operator norm of the Lagrange interpolation operator acting on , where is the Lagrange interpolating polynomial for of degree at the points . Using techniques of pluripotential...