Piecewise trigonometric Hermite interpolation

Xuli Han

Applied Mathematics and Computation, 2015, vol. 268, issue C, 616-627

Abstract: Based on the symmetric, nonnegative and normalized basis of the trigonometric polynomial space, the piecewise trigonometric Hermite interpolation methods are presented. The Cn−1 and Cn continuous piecewise trigonometric Hermite interpolants of degree n are constructed and the interpolation methods are local. The integral and the differential representations of the errors of the trigonometric Hermite interpolants are given. Several examples are supplied to support the practical value of the given interpolation methods.

Keywords: Trigonometric basis; Trigonometric polynomial; Trigonometric interpolation; Trigonometric Hermite interpolation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:616-627

DOI: 10.1016/j.amc.2015.06.125

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