Abstract
We study some \(C^1\) quadratic spline functions on bounded domain. The spline functions comprise polynomials, trigonometric functions, hyperbolic functions or their combinations. We show that some subset of minimal splines share most properties of the classical polynomial B-splines (positivity, compact support, smoothness, partition of unity). Some examples of polynomial and non-polynomial minimal splines are given.
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Acknowledgments
The reported study was funded by a grant of the President of the Russian Federation (MD-6766.2015.9) and by RFBR, according to the research project No. 16-31-60060 mol_a_dk.
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Kosogorov, O., Makarov, A. (2017). On Some Piecewise Quadratic Spline Functions. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_50
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DOI: https://doi.org/10.1007/978-3-319-57099-0_50
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