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Nielson interpolation operators on an arbitrary triangle with one curved side

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Abstract

We extend some Nielson type interpolation operators to the cases of standard and arbitrary triangles with one curved side. The correspondence between the operators defined on standard triangles and arbitrary triangles is made using barycentric coordinates. We study the interpolation properties of the obtained operators and the interpolation errors. For illustration, we give some numerical examples.

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Acknowledgements

We are grateful to the referees for careful reading of the manuscript and for their valuable suggestions.

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  1. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, M. Kogălniceanu St., No. 1, 400084, Cluj-Napoca, Romania

    Teodora Cătinaş

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  1. Teodora Cătinaş
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Correspondence to Teodora Cătinaş.

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Communicated by Tom Lyche.

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Cătinaş, T. Nielson interpolation operators on an arbitrary triangle with one curved side. Bit Numer Math 61, 757–770 (2021). https://doi.org/10.1007/s10543-021-00842-7

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