arXiv:math/0602458v2 [math.CA] 28 Feb 2006 Page 1 arXiv:math/0602458v2 [math.CA] 28 Feb
2006 Discrete Linear Interpolatory Operators J. Szabados 20 February 2006 Abstract. This is a …

Interpolation by Splines on Triangulations Page 1 International Series of Numerical
Mathematics Vol. 132, © 1999 Birkhiiuser Verlag BaseVSwitzerland Interpolation by Splines on …

The (Lions–Peetre) real interpolation spaces Āθ, q are defined by using the function norm
ϕ\left(ϕ\right)=(∫_0^∞\left(ϕ\right(t)/t^θ)^qdtt)^1/q. By replacing tθ by a more general …

L=(Lp0 (ω0),..., Lpn (ωn)) ⃗θ, q is given. An interesting feature of the result is that the whole
measure space (Ω, µ) can be divided into disjoint pieces Ωi (i∈ I) such that L is an lq sum of …

Interpolation error estimates in terms of geometric quality measures are established for
harmonic coordinates on polytopes in two and three dimensions. First we derive …

An interpolatory view of polynomial least squares approximation - ScienceDirect Skip to main
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By using the algorithm of Nürnberger and Riessinger (1995), we construct Hermite
interpolation sets for spaces of bivariate splines Sqr (Δ1) of arbitrary smoothness defined on …

This paper establishes bounds on the uniform error in the approximation of a continuous
function defined on a rectangle by polynomial product approximations. The dependence of …

In this paper, we consider the bivariate Hermite interpolation introduced by Bojanov and Xu
[SIAM J. Numer. Anal. 39 (5)(2002) 1780–1793]. The nodes of the interpolation with Π2k-δ …