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On a pointwise convergence of trigonometricinterpolations with shifted nodes

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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