Results 211 to 220 of about 11,116 (261)

On Monotone Spline Approximation

SIAM Journal on Mathematical Analysis, 1994
For 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 ...
S P Zhou
exaly   +2 more sources

Spline approximation of offset curves

Computer Aided Geometric Design, 1988
By 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.
Josef Hoschek
exaly   +2 more sources

On Approximation by Hyperbolic Splines

Journal of Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kulikov, E. K., Makarov, A. A.
openaire   +1 more source

Biorthogonal Approximation by Splines

Journal of Mathematical Sciences, 2014
For 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.
openaire   +2 more sources

Multidimensional Spline Approximation

SIAM Journal on Numerical Analysis, 1980
Summary: We give direct and inverse estimates for multivariate spline approximation. The direct estimates rest on new results for local polynomial approximation which generalize the work of Brudnyi and Bramble-Hilbert. The inverse estimates are multivariate extensions of one variable ideas.
Dahmen, W., De Vore, R., Scherer, K.
openaire   +1 more source

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