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The paper studies quadratic minimal splines on nonuniform grids with multiple nodes on a closed interval. Asymptotic expansions for normalized splines are obtained. In dependence of the multiplicities 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. Bibliography: 10 titles.
Original language | English |
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Pages (from-to) | 256-262 |
Number of pages | 7 |
Journal | Journal of Mathematical Sciences (United States) |
Volume | 249 |
Issue number | 2 |
DOIs | |
State | Published - 1 Aug 2020 |
ID: 61738774