Similarities of the integral Padé approximants II

摘要

In this paper, we show further similarities of the integral Padé approximant. The similarity of the integral Padé approximant with the functional Padé approximant and the improved functional epsilon algorithms is demonstrated. The purpose of demonstrating the similarity between the integral Padé approximant and the functional Padé approximant is to verify our conjecture, which is the integral Padé approximant and the hybrid functional Padé approximant produce identical rational functions. Finally, we demonstrate the improvement of the classical functional epsilon algorithms, which also has a relationship with the integral Padé approximant.