Asymptotic estimates for the quasi-periodic interpolations

Author(s)

Asymptotic estimates for the quasi-periodic interpolations Lusine Poghosyan

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.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/13 Armenian Journal of Mathematics, 5(1) 34-57

Download PDF

Keywords

Trigonometric interpolation, quasi-periodic interpolation, convergence accel-eration, asymptotic estimates

Check for updates

Share

Contact admin with any questions, comments or concerns

[email protected]