Nyengeri, H., Nizigiyimana, R., Mutankana, J.-P., Bayaga, H. and Bayubahe, F. (2021) Power and Chebyshev Series Transformation Formulas with Applications to Solving Ordinary Differential Equations via the Fröbenius and Taylor’s Methods. Open Access Library Journal, 8, e7142.
https://doi.org/10.4236/oalib.1107142

has been cited by the following article:

• TITLE: Estimating Sums of Convergent Series via Rational Polynomials

  AUTHORS: Serdar Beji

  KEYWORDS: Sums of Series, Rational Polynomials, Extrapolation to Limit, Asymptotic Value

  JOURNAL NAME: Advances in Pure Mathematics, Vol.13 No.4, April 26, 2023

  ABSTRACT: Sums of convergent series for any desired number of terms, which may be infinite, are estimated very accurately by establishing definite rational polynomials. For infinite number of terms the sum infinite is obtained by taking the asymptotic limit of the rational polynomial. A rational function with second-degree polynomials both in the numerator and denominator is found to produce excellent results. Sums of series with different characteristics such as alternating signs are considered for testing the performance of the proposed approach.