On a Fast Convergence of the Rational-Trigonometric-Polynomial Interpolation

الملخص EN

We consider the convergence acceleration of the Krylov-Lanczos interpolation by rational correction functions and investigate convergence of the resultant parametric rational-trigonometric-polynomial interpolation.

Exact constants of asymptotic errors are obtained in the regions away from discontinuities, and fast convergence of the rational-trigonometric-polynomial interpolation compared to the Krylov-Lanczos interpolation is observed.

Results of numerical experiments confirm theoretical estimates and show how the parameters of the interpolations can be determined in practice.