Armenian Journal of Mathematics, 5(2)
2014; 105–122
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On a pointwise convergence of trigonometricinterpolations with shifted nodes

Arnak 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
On a pointwise convergence of trigonometricinterpolations with shifted nodes
Author
Arnak 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/99

Abstract

We consider trigonometric interpolations with shifted equidistant nodes and investigatetheir accuracies depending on the shift parameter. Two different types of interpolations arein the focus of our attention: the Krylov-Lanczos and the rational-trigonometric-polynomialinterpolations. In both cases, we find optimal shifts that provide with the best accuracy indifferent frameworks.
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