Approximation using scattered shifts of a multivariate function

R DeVore, A Ron - Transactions of the American Mathematical Society, 2010 - ams.org
The approximation of a general $ d $-variate function $ f $ by the shifts $\phi (\cdot-\xi) $,
$\xi\in\Xi\subset\mathbb {R}^ d $, of a fixed function $\phi $ occurs in many applications such …

[HTML][HTML] Superconvergence of kernel-based interpolation

R Schaback - Journal of Approximation Theory, 2018 - Elsevier
From spline theory it is well-known that univariate cubic spline interpolation, if carried out in
its natural Hilbert space W 2 2 [a, b] and on point sets with fill distance h, converges only like …

[PDF][PDF] A Bibliography of Publications in SIAM Journal on Mathematical Analysis for 2000–2009

NHF Beebe - 2012 - Citeseer
A Bibliography of Publications in SIAM Journal on Mathematical Analysis for 2000–2009
Page 1 A Bibliography of Publications in SIAM Journal on Mathematical Analysis for 2000–2009 …

Approximation on the complex sphere

H Alsaud, A Kushpel, J Levesley - arXiv preprint arXiv:1204.6155, 2012 - arxiv.org
We develop new elements of harmonic analysis on the complex sphere on the basis of
which Bernstein's, Jackson's and Kolmogorov's inequalities are established. We apply these …