Results 11 to 20 of about 65 (65)
Approximations by multivariate sublinear and Max-product operators under convexity
Here we search quantitatively under convexity the approximation of multivariate function by general multivariate positive sublinear operators with applications to multivariate Max-product operators.
Anastassiou George A.
doaj +1 more source
On the approximation by convolution operators in homogeneous Banach spaces on R^d [PDF]
AMS Subject Classification 2010: 41A25, 41A35, 41A40, 41A63, 41A65, 42A38, 42A85, 42B10, 42B20The paper presents a description of the optimal rate of approximation as well as of a broad class of functions that possess it for convolution operators acting ...
Draganov, Borislav
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On Multi-Level Bases for Elliptic Boundary Value Problems [PDF]
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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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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Adaptive algorithm for polyhedral approximation of 3D solids [PDF]
In this paper we discuss theoretical foundations of developing general methods for volume-based approximation of three-dimensional solids. We construct an iterative method that can be used for approximation of regular subsets of Rd (d 2 N) in particular ...
FÁBIÁN, Gábor, GERGŐ, Lajos
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Scattered Node Compact Finite Difference-Type Formulas Generated from Radial Basis Functions
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
: 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
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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Hermite Interpolation with Radial Basis Functions on Spheres
. 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
. 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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