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Smooth predictions for age-period-cohort models: a comparison between splines and random process. [PDF]
Gascoigne C, Riebler A, Smith T.
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A new hybrid block collocation method for solving elliptic PDEs. [PDF]
Rufai MA +3 more
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Adaptive weighted progressive iterative approximation based on coordinate decomposition. [PDF]
Liu Y, Wang Y, Liu C.
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Vision transformers- Kolmogorov-Arnold networks-based consumer driven surface cracks classification model. [PDF]
Wahab Sait AR, Sankaranarayanan S, Yu Y.
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On Monotone Spline Approximation
SIAM Journal on Mathematical Analysis, 1994For a monotone function \(f\) on the interval \([0,1]\) define \(E_{n,m} (f)=\inf \| f-s\|\) with the uniform norm \(\|\cdot \|\). The infimum is taken over all monotone splines \(s\) of order \(m+1\) on \(n+1\) equidistant knots. It is known that for \(f\in C^ j\) the estimate \(E_{n,m}(f)\leq C(m) n^{-j} \omega(f^{(j)}, n^{-1})\) holds for \(0\leq j ...
Yu, X. M., Zhou, S. P.
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Spline approximation of offset curves
Computer Aided Geometric Design, 1988By using Bézier-splines and rational Bézier-splines, the author discusses the approximation of offset curves. In order to determine the approximating splines, the author presents algorithms for Bézier- splines with G 1 and G 2-continuity, and for rational Bézier-splines with G 1-continuity. An example illustrates the usefulness of the algorithms.
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On Approximation by Hyperbolic Splines
Journal of Mathematical Sciences, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kulikov, E. K., Makarov, A. A.
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Biorthogonal Approximation by Splines
Journal of Mathematical Sciences, 2014For bi-infinite grids of points in one dimension on intervals, bi-orthogonal approximations by splines are considered. Explicit expressions for the representation of the splines are derived and specified in detail in the special case of quadratic splines. Error estimated are provided as well in a variety of approaches.
Dem'yanovich, Yu. K., Lebedeva, A. V.
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