Norm estimates for interpolation methods defined by means of polygons

F Cobos, P Fernandezmartinez, T Schonbek - Journal of Approximation …, 1995 - Elsevier
Defined by Means of Polygons Page 1 JOURNAL or APPROXIMATION rmzoav 80, 32l~35l (
I995) Norm Estimates for Interpolation Methods Defined by Means of Polygons FERNANDO …

Some reiteration results for interpolation methods defined by means of polygons

F Cobos, LM Fernández-Cabrera… - Proceedings of the Royal …, 2008 - cambridge.org
Some reiteration results for interpolation methods defined by means of polygons Page 1
Proceedings of the Royal Society of Edinburgh, 138A, 1179–1195, 2008 Some reiteration …

Interpolation methods defined by means of polygons and compact operators

LM Fernandez-Cabrera, A Martinez - Proceedings of the Edinburgh …, 2007 - cambridge.org
We work with interpolation methods for-tuples of Banach spaces associated with polygons.
We compare necessary conditions for interpolating closed operator ideals with conditions …

On interpolation of function spaces by methods defined by means of polygons

F Cobos, J Martín - Journal of approximation theory, 2005 - Elsevier
On interpolation of function spaces by methods defined by means of polygons Page 1 Journal
of Approximation Theory 132 (2005) 182 – 203 www.elsevier.com/locate/jat On interpolation …

Norms of analytic interpolation projections on general domains

JG Clunie, JC Mason - Journal of approximation theory, 1984 - Elsevier
For any finitely connected open domain D bounded by Jordan curves, it is proved that there
exists a function in A (D), the space of functions analytic in D and continuous on D, having a …

Approximation of functions by extended Lagrange interpolation

G Mastroianni - Approximation and Computation: A Festschrift in Honor …, 1994 - Springer
We consider some extended interpolation processes based on the zeros of the product of
two orthogonal polynomials and on some additional points near±1. We derive necessary …

Sharp error estimates for interpolatory approximation on convex polytopes

A Guessab, G Schmeisser - SIAM journal on numerical analysis, 2005 - SIAM
Let P be a convex polytope in the d-dimensional Euclidean space. We consider an
interpolation of a function f at the vertices of P and compare it with the interpolation of f and …

A unified theory of commutator estimates for a class of interpolation methods

M Cwikel, N Kalton, M Milman, R Rochberg - Advances in Mathematics, 2002 - Elsevier
A general family of interpolation methods is introduced which includes, as special cases, the
real and complex methods and also the so-called±or G1 and G2 methods defined by Peetre …

Weighted Lp error of Lagrange interpolation

G Mastroianni, P Vertesi - Journal of Approximation Theory, 1995 - Elsevier
Weighted L, Error of Lagrange Interpolation * Page 1 JoURNAL OF APPROxIMATION THEORY
82, 321–339 (1995) Weighted L, Error of Lagrange Interpolation * GIUSSEPPE MASTROIANNI …

On the optimality of compactness results for interpolation methods associated to polygons

F Cobos - Indagationes Mathematicae, 1994 - Elsevier
Compactness results of Cobos and Peetre [3] guarantee that the interpolated operator is
compact assuming that all but two restrictions of the operator (located in adjacent vertices) …