Results 121 to 130 of about 10,513 (148)

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 ...
Yu, X. M., Zhou, S. P.
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SPLINE APPROXIMATIONS ON MANIFOLDS

International Journal of Wavelets, Multiresolution and Information Processing, 2006
A method of construction of the local approximations in the case of functions defined on n-dimensional (n ≥ 1) smooth manifold with boundary is proposed. In particular, spline and finite-element methods on manifold are discussed. Nondegenerate simplicial subdivision of the manifold is introduced and a simple method for evaluations of approach is ...
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Convex Approximation by Splines

SIAM Journal on Mathematical Analysis, 1981
Jackson type estimates are obtained for the approximation of convex functions by convex splines with equally spaced knots. The results are of the same order as the Jackson type estimates for unconstrained approximation by splines with equally spaced knots.
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Approximation by Minimal Splines

Journal of Mathematical Sciences, 2013
The author gives an abstract result about the rest of Lagrange type interpolation splines. This result applies to a different method used by the author in previous results on the same subject method.
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Monotone Approximation by Splines

SIAM Journal on Mathematical Analysis, 1977
We prove Jackson type estimates for the approximation of monotone nondecreasing functions by monotone nondecreasing splines with equally spaced knots. Our results are of the same order as the Jackson type estimates for unconstrained approximation by splines with equally spaced knots.
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Approximation by Splines

2010
In this chapter we want to give a taste to the reader of the wide area of approximation theory. This is a very large subject, ranging from analytical to even engineering-oriented topics. We merely point out a few facts more closely related to our main treatment. We refer to [70] for a review of these topics.
Corrado De Concini, Claudio Procesi
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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.
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B-Spline Approximation for Polynomial Splines

2018
This chapter has discussed specialised computing structure for running B-spline approximation. The spline functions and generalised spectral methods are widely used for the analysis and recovery of signals. The broken spline function is the simplest and historical example of splines. Spline functions are a developing field of the function approximation
Dhananjay Singh, Madhusudan Singh, Zaynidinov Hakimjon   +2 more
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Multivariate Spline Approximation

1993
Abstract : We started out with the goal of understanding approximation order in a multivariate context, including the approximation of surfaces. In addition, we wanted to understand better the use and analysis of our approach to multivariate polynomial interpolation.
Amos Ron, Carl R. De Boor
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Hierarchical Spline Approximations

2003
We discuss spline refinement methods that approximate multi-valued data defined over one, two, and three dimensions. The input to our method is a coarse decomposition of the compact domain of the function to be approximated consisting of intervals (univariate case), triangles (bivariate case), and tetrahedra (trivariate case).
David F. Wiley, Martin Bertram, Benjamin W. Jordan, Bernd Hamann, Kenneth I. Joy, Nelson L. Max, Gerik Scheuermann   +6 more
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