Ein verallgemeinerter Kettenbruch-Algorithmus zur rationalen Hermite-Interpolation.
Equiconvergence of some sequences of rational functions.
Error autocorrection in rational approximation and interval estimates. [A survey of results.]
The error autocorrection effect means that in a calculation all the intermediate errors compensate each other, so the final result is much more accurate than the intermediate results. In this case standard interval estimates (in the framework of interval analysis including the so-called a posteriori interval analysis of Yu. Matijasevich) are too pessimistic. We shall discuss a very strong form of the effect which appears in rational approximations to functions. The error autocorrection effect occurs...
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.
Evaluation of the Fermi-Dirac integral of half-integer order