Convergence acceleration of quasi-periodic and quasi-periodic-rational interpolations by polynomial corrections

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Convergence acceleration of quasi-periodic and quasi-periodic-rational interpolations by polynomial corrections Lusine Poghosyan

The paper considers convergence acceleration of the quasi-periodic and the quasi-periodic-rational interpolations by application of polynomial corrections. We investigate convergence of the resultant quasi-periodic-polynomial and quasi-periodic-rational-polynomial interpolations and derive exact constants of the main terms of asymptotic errors in the regions away from the endpoints. Results of numerical experiments clarify behavior of the corresponding interpolations for moderate number of interpolation points.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/15 Armenian Journal of Mathematics, 5(2) 123-138

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Keywords

Trigonometric interpolation, Quasi-periodic interpolation, Convergence accel-eration, Polynomial correction, Rational correction

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