An error analysis for the calculation of semiintegrals and semiderivatives by the RL algorithm

摘要

The numerical approximation of the semiintegral and semiderivative of a function f by the RL algorithm of Oldham and Spanier [1] is examined. An error analysis is given for the case when f has a continuous second derivative. The performance of the algorithm when applied to experimental data is also discussed. Numerical examples are presented to illustrate the theory.