Abstract
In this note, we develop a local construction of cubic splines and make a comparative analysis of local integro cubic splines. We also derive explicit formulae for a local integro cubic spline and its first two derivatives. These formulae are short and four-point ones that require less computational cost compared to an integro cubic spline quasi-interpolant.
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Acknowledgements
The work was partially supported by Foundation of Science and Technology of Mongolia (no. SST_007/2015). The authors are grateful to the reviewer for the valuable comments and useful suggestions that greatly improved the quality of the manuscript.
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Communicated by Luz de Teresa.
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Zhanlav, T., Mijiddorj, R. A comparative analysis of local cubic splines. Comp. Appl. Math. 37, 5576–5586 (2018). https://doi.org/10.1007/s40314-018-0651-1
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DOI: https://doi.org/10.1007/s40314-018-0651-1