Towards a recurrence relationship extraction on Chebyshev Moments calculation

This paper introduces a different approach on how to calculate the Chebyshev Moments based on a recurrence relationship. The recurrence relationship reveals an easier way to calculate the Chebyshev moment by extracting simple and elegant recurrence patterns. The recurrence relationship is developed alongside a suitable data structure that holds the different parts of the extracted pattern. We used the Coil dataset to run the experimental results which show a reasonable numerical stability of the computed moments compared to the direct method while a gain in time execution is also noticed.