Rational approximants associated with measures supported on the unit circle and the real line (Q645693)

The paper is organized as follows. In Section 2 the required background on quadrature formulas on the unit circle and the real line and their connection with rational approximants is summarized. The most important contribution of the paper is in Section 3 concerning new results on error estimations and rates of convergence for the rational approximants studied in Section 2. Some illustrative numerical experiments involving certain typical special functions in Numerical Analysis are carried out in Section 4 and finally, some conclusions are given in Section 5.