Results 21 to 30 of about 65 (65)
Extending an earlier estimate for the degree of approximation of over iterated univariate Bernstein operators towards the same operator of degree one, it is shown that an analogous result holds in the d-variate case.
ACU, Ana-Maria, GONSKA, Heiner
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Scattered Node Compact Finite Difference-Type Formulas Generated from Radial Basis Functions
, 2008 In standard equispaced finite difference (FD) formulas, symmetries can make the order of accuracy relatively high compared to the number of nodes in the FD stencil. With scattered nodes, such symmetries are no longer available.
Grady B. Wright A, Bengt Fornberg B
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Approximation by Radial Basis Functions with Finitely Many Centers
, 1996 : Interpolation by translates of "radial" basis functions \Phi is optimal in the sense that it minimizes the pointwise error functional among all comparable quasi--interpolants on a certain "native" space of functions F \Phi .
Schaback, Robert, Robert Schaback
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Interpolating Refinable Functions And Wavelets For General Scaling Matrices
, 1997 This paper introduces a general procedure for constructing interpolating re- nable functions for arbitrary dilation matrices. The key ideas are based on the construction presented in [24].
Stephan Dahlke +3 more
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On Multi-Level Bases for Elliptic Boundary Value Problems
, 1995 We study the multi-level method for preconditioning a linear system arising from a Galerkin discretization method of an elliptic boundary value problem of order 2r. The solution is approximated in the spline space S 0 1 (4 n ) when r = 1 and S r\Gamma1
Paul Wenston +3 more
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Hermite Interpolation with Radial Basis Functions on Spheres
, 1999 . We show how conditionally negative definite functions on spheres coupled with strictly completely monotone functions (or functions whose derivative is strictly completely monotone) can be used for Hermite interpolation.
Gregory E. Fasshauer
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Dimension and Local Bases of Homogeneous Spline Spaces
, 1995 . Recently, we have introduced spaces of splines defined on triangulations lying on the sphere or on sphere-like surfaces. These spaces arose out of a new kind of Bernstein-B'ezier theory on such surfaces.
Marian Neamtu +2 more
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Shape Preserving Properties and Convergence of Univariate Multiquadric Quasi-Interpolation
, 1994 : With a suitable modification at the endpoints of the range, quasi--interpolation with univariate multiquadrics OE(x) = p c 2 + x 2 is shown to preserve convexity and monotonicity. If h is the maximum distance of centres, convergence of the quasi--
Schaback, Robert +3 more
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, 2007 : This paper presents a general construction of compactly supported biorthogonal wavelets in L 2 (IR s ). In particular, a concrete method for the construction of bivariate compactly supported biorthogonal wavelets of increasing smoothness is provided.
Sherman D. Riemenschneider, Zuowei Shen
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Approximation From Shift-Invariant Subspaces of ...
, 1991 : A complete characterization is given of closed shift-invariant subspaces of L 2 (IR d ) which provide a specified approximation order. When such a space is principal (i.e., generated by a single function), then this characterization is in terms of ...
Amos Ron, Ronald A. Devore, Carl de Boor
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