Geodesic
Quadratic minimal splines with multiple nodes
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXII, Tome 482 (2019), pp. 220-230

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The paper studies quadratic minimal splines on nonuniform grids with multiple nodes on a closed interval. Asymptotic representations for normalized splines are obtained. In dependence of the multiplicity of grid nodes, it is established to which class of continuity the spline functions under consideration belong. The results obtained are illustrated with examples of hyperbolic and trigonometric minimal splines. 
@article{ZNSL_2019_482_a14,
     author = {E. K. Kulikov and A. A. Makarov},
     title = {Quadratic minimal splines with multiple nodes},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {220--230},
     publisher = {mathdoc},
     volume = {482},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_482_a14/}
}
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E. K. Kulikov; A. A. Makarov. Quadratic minimal splines with multiple nodes. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXII, Tome 482 (2019), pp. 220-230. http://geodesic.mathdoc.fr/item/ZNSL_2019_482_a14/