On a pointwise convergence of trigonometricinterpolations with shifted nodes

Author(s)

On a pointwise convergence of trigonometricinterpolations with shifted nodes Arnak Poghosyan

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.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/99 Armenian Journal of Mathematics, 5(2) 105-122

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Keywords

Trigonometric Interpolation, Krylov-Lanczos Interpolation, Rational Correc-tions, Shifted Nodes

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