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Asymptotic behavior of the Eckhoff method for convergence acceleration of trigonometric interpolation
Authors:Arnak Poghosyan
Affiliation:National Academy of Sciences of Armenia, Armenia
Abstract:Convergence acceleration of the classical trigonometric interpolation by the Eckhoff method is considered, where the exact values of the jumps are approximated by solution of a system of linear equations. The accuracy of the jump approximation is explored and the corresponding asymptotic error of interpolation is derived. Numerical results validate theoretical estimates.
Keywords:Fourier series  trigonometric interpolation  convergence acceleration  Bernoulli polynomials  
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