Armenian Journal of Mathematics, 5(2)
2014; 123–138
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Convergence acceleration of quasi-periodic and quasi-periodic-rational interpolations by polynomial corrections

Lusine Poghosyan*

Received: 2024-12-19 · Published: 2014-01-08

© 2014 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Convergence acceleration of quasi-periodic and quasi-periodic-rational interpolations by polynomial corrections
Author
Lusine Poghosyan
Source journal
Armenian Journal of Mathematics, 5(2)
Published
2014-01-08
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/15

Abstract

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.
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