Rate of Convergence of Hermite-Fejér Interpolation on the Unit Circle

الملخص EN

The paper deals with the order of convergence of the Laurent polynomials of Hermite-Fejér interpolation on the unit circle with nodal system, the n roots of a complex number with modulus one.

The supremum norm of the error of interpolation is obtained for analytic functions as well as the corresponding asymptotic constants.