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Lower complexity bounds for interpolation algorithms
(Academic Press Inc Elsevier Science, 2011-04)
We introduce and discuss a new computational model for the HermiteLagrange interpolation with nonlinear classes of polynomial interpolants. We distinguish between an interpolation problem and an algorithm that solves it. ...
Approximation in L-2 Sobolev spaces on the 2-sphere by quasi-interpolation
(Birkhauser Boston IncCambridgeEUA, 2001)
Interpolation of bilinear operators and compactness
(Pergamon-elsevier Science LtdOxfordInglaterra, 2010)
Lagrange approximation in Banach spaces
(Springer Heidelberg, 2015-04)
Starting from Lagrange interpolation of the exponential function ez in the complex plane, and using an integral representation formula for holomorphic functions on Banach spaces, we obtain Lagrange interpolating polynomials ...
On the Maximal Operator Ideal Associated with a Tensor Norm Defined by Interpolation Spaces
(CANADIAN MATHEMATICAL SOC, 2010-12-01)
The classical approach to studying operator ideals using tensor norms mainly focuses on those tensor norms and operator ideals defined by means of `p spaces. In a previous paper, an interpolation space, defined via the ...
Approximation and interpolation from modules
(Marcel Dekker IncNew YorkEUA, 2003)
On the interpolation space (Lp(Ω),W1,p(Ω))s,p in non-smooth domains
(Academic Press Inc Elsevier Science, 2019-02)
We show that, for certain non-smooth bounded domains Ω ⊂ Rn, the real interpolation space (Lp(Ω), W1,p(Ω))s,p is the subspace Ws,p(Ω) ⊂ Lp(Ω) induced by the restricted fractional seminorm |f| Ws,p(Ω) = ∫ Ω ∫ |x−y|< d(x) 2 ...
Interpolation estimate for a finite-element space with embedded discontinuities
(Oxford University PressOxford, 2012)
We consider a recently proposed finite-element space that consists of piecewise affine functions with discontinuities across a smooth given interface Γ (a curve in two dimensions, a surface in three dimensions). Contrary ...