Converting interpolation series into Chebyshev series by recurrence formulas
Converting interpolation series into Chebyshev series by recurrence formulas
Interpolation series (divided difference, Gregory-Newton, Gauss, Stirling, Bessel) are converted into Chebyshev (or Jacobi) series by applying a previously derived general five-term recurrence formula [3]. It employs the coefficients in three-term linear recurrence formulas (same kind as for orthogonal polynomials) which have been found for the <italic>m</italic>th degree nonorthogonal polynomial …