International Scholarly Research Notices

Research Article

Series Prediction Based on Algebraic Approximants

Table 1

The case of 𝑁 = 2 , 𝑝 0 = 𝑝 1 = 𝑝 2 = 1 for (4.3). Displayed are the coefficients of the Taylor series, the predicted coefficients, and absolute and relative errors of the predicted coefficients.
𝑗 𝑓 𝑗 𝑎 𝑗 | 𝑓 𝑗 − 𝑎 𝑗 | Relative error (%)
5 − . 2 9 4 − . 2 9 4 .001.18
6 − . 3 3 0 − . 3 3 2 .001.38
7 − . 3 8 9 − . 3 9 2 .002.58
8 − . 4 7 5 − . 4 7 8 .004.76
9 − . 5 9 3 − . 5 9 9 .006.93
10 − . 7 5 6 − . 7 6 5 .008 1.10