Using quadrature formulas on the semicircle of Gauss-Chrlstoffel type and an integral representation of derivatives, we cormidor diiferentlatlon formulas for higher derivatives of an ,mAlytlc function. An error Armlysls and some numerical experiments are included.
In the classical Stieltjes and Hamburger's moment problem the sequence of maximum entropy approx-imants, whose rst M moments are equal to given ones, is considered. It is proved that whenever an innnite moment problem is determined then maximum entropy approximants converge in entropy to the function characterized by given moments. Entropy-convergence is… (More)