Armenian Journal of Mathematics, 5(1)
2013; 34–57
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Asymptotic estimates for the quasi-periodic interpolations

Lusine Poghosyan*

Received: 2024-12-19 · Published: 2013-07-17

© 2013 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
Asymptotic estimates for the quasi-periodic interpolations
Author
Lusine Poghosyan
Source journal
Armenian Journal of Mathematics, 5(1)
Published
2013-07-17
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/13

Abstract

We investigate the convergence of the quasi-periodic interpolation on the entire interval [−1,1][−1,1] in the L2L2-norm and at the endpoints of the interval by the limit function behavior. In both cases we derive exact constants for the main terms of the asymptotic errors. The results of numerical experiments confirm theoretical estimates and show the behavior of the quasi-periodic interpolation for specific functions.
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