Titlebook: Numerical Methods in Approximation Theory, Vol. 9; Dietrich Braess,Larry L. Schumaker (Stevenson Prof Book 1992 Springer Basel AG 1992 Inv

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漂亮才会豪华

Quasi-interpolation in the Absence of Polynomial Reproduction,r family of functions {..}.. A particular feature of the analysis is the fact that we do not require .. to reproduce low degree polynomials. In the first part of the paper, estimates are obtained for |(. − ...)(.)| as . → 0, when .. decays polynomially at infinity. These estimates are then used to a

Fierce

Estimating the Condition Number for Multivariate Interpolation Problems,nction .. The estimate depends on the properties of the Fourier transform ... In case the interpolation points are a subset of a regular grid, the bound is based on properties of the symbol of . (which is a periodization of ..). For scattered data interpolation, we assume that . is a positive defini

外表读作

Wavelets on a Bounded Interval,yer obtained orthonormal wavelets on a bounded interval by restricting Daubechies’ scaling functions and wavelets to [0, 1] and applying the Gram-Schmidt procedure to orthonormalize the restrictions. Our own approach — presented in the second part of the paper — is based on the semi-orthogonal Chui-

Endometrium

Quasi-Kernel Polynomials and Convergence Results for Quasi-Minimal Residual Iterations,onsingular non-Hermitian linear systems. Motivated by the QMR method, in [.] we have introduced the general concept of quasi-kernel polynomials, and we have shown that the QMR algorithm is based on a particular instance of quasi-kernel polynomials. In this paper, we continue our study of quasi-kerne

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巧办法

Necessary Conditions for Local Best Chebyshev Approximations by Splines with Free Knots,ree knots. Introducing the notion of an extended tangent cone, which also contains discontinuous splines, we derive an improved necessary condition for local best approximations from ... This condition is equivalently formulated as an alternant criterion. It shows that the corresponding error functi

right-atrium

C1 Interpolation on Higher-Dimensional Analogues of the 4-Direction Mesh,1,...,.}. Sharp necessary and sufficient conditions on data at the vertices of Δ. are given that allow interpolation of the data by .-variate, .. piecewise polynomials of degree . + 1. For degree . + 2 and higher, values and normals at the vertices can be stably interpolated and a unit-norm .. Lagra