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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

On a pointwise convergence of trigonometricinterpolations with shifted nodes

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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