(aka Real and complex mean value interpolation) Complex Kergin interpolation Most of the recent work involves complex Kergin interpolation. The issues considered so far, are what conditions on the geometry of the domain are necessary and sufficient for mean value interpolants to be defined on holomorphic functions, and under what conditions does the sequence of interpolants converge locally uniformly to the function being approximated (as the number of points increases). People working on such questions include Tom Bloom (bloom@math.toronto.edu) Jean-Paul Calvi (calvi@cict.fr) Norm Levenberg (levenber@math.auckland.ac.nz) Swedish complex analysts including Mats Andersson (matsa@math.chalmers.se) Lars Filipsson (filip@fredholm.math.kth.se) Mikael Passare (passare@matematik.su.se) Representing mean value interpolants and L_p-error bounds Other work includes representing mean value interpolants (in terms of the interpolation conditions), obtaining L_p-error bounds for the interpolants, and estimating the uniform norm of the mean value interpolation operator. People working on such questions include Alan Augel (augel@univ-rennes1.fr) Len Bos (lpbos@acs.ucalgary.ca) Ulrike Maier (umaier@math.uni-dortmund.de) Paul Sablonniere (sablonniere@univ-rennes1.fr) Shayne Waldron (waldron@math.auckland.ac.nz) Integral error formulae for the scale of mean value interpolations A multivariate form of Hardy's inequality, and L_p-error error bounds for the scale of mean value interpolations References A long list of references , in TeX , in postscript This document is maintained by Shayne ( waldron@math.auckland.ac.nz ). Last Modified: . Complex Kergin interpolation Tom Bloom (bloom@math.toronto.edu) Jean-Paul Calvi (calvi@cict.fr) Norm Levenberg (levenber@math.auckland.ac.nz) Swedish complex analysts including Mats Andersson (matsa@math.chalmers.se) Lars Filipsson (filip@fredholm.math.kth.se) Mikael Passare (passare@matematik.su.se) Jean-Paul Calvi (calvi@cict.fr) Norm Levenberg (levenber@math.auckland.ac.nz) Swedish complex analysts including Mats Andersson (matsa@math.chalmers.se) Lars Filipsson (filip@fredholm.math.kth.se) Mikael Passare (passare@matematik.su.se) Norm Levenberg (levenber@math.auckland.ac.nz) Swedish complex analysts including Mats Andersson (matsa@math.chalmers.se) Lars Filipsson (filip@fredholm.math.kth.se) Mikael Passare (passare@matematik.su.se) Swedish complex analysts including Mats Andersson (matsa@math.chalmers.se) Lars Filipsson (filip@fredholm.math.kth.se) Mikael Passare (passare@matematik.su.se) Mats Andersson (matsa@math.chalmers.se) Lars Filipsson (filip@fredholm.math.kth.se) Mikael Passare (passare@matematik.su.se) Lars Filipsson (filip@fredholm.math.kth.se) Mikael Passare (passare@matematik.su.se) Mikael Passare (passare@matematik.su.se) Representing mean value interpolants and L_p-error bounds Other work includes representing mean value interpolants (in terms of the interpolation conditions), obtaining L_p-error bounds for the interpolants, and estimating the uniform norm of the mean value interpolation operator. People working on such questions include Alan Augel (augel@univ-rennes1.fr) Len Bos (lpbos@acs.ucalgary.ca) Ulrike Maier (umaier@math.uni-dortmund.de) Paul Sablonniere (sablonniere@univ-rennes1.fr) Shayne Waldron (waldron@math.auckland.ac.nz) Integral error formulae for the scale of mean value interpolations A multivariate form of Hardy's inequality, and L_p-error error bounds for the scale of mean value interpolations References A long list of references , in TeX , in postscript This document is maintained by Shayne ( waldron@math.auckland.ac.nz ). Last Modified: .

Representing mean value interpolants and L_p-error bounds Alan Augel (augel@univ-rennes1.fr) Len Bos (lpbos@acs.ucalgary.ca) Ulrike Maier (umaier@math.uni-dortmund.de) Paul Sablonniere (sablonniere@univ-rennes1.fr) Shayne Waldron (waldron@math.auckland.ac.nz) Integral error formulae for the scale of mean value interpolations A multivariate form of Hardy's inequality, and L_p-error error bounds for the scale of mean value interpolations Len Bos (lpbos@acs.ucalgary.ca) Ulrike Maier (umaier@math.uni-dortmund.de) Paul Sablonniere (sablonniere@univ-rennes1.fr) Shayne Waldron (waldron@math.auckland.ac.nz) Integral error formulae for the scale of mean value interpolations A multivariate form of Hardy's inequality, and L_p-error error bounds for the scale of mean value interpolations Ulrike Maier (umaier@math.uni-dortmund.de) Paul Sablonniere (sablonniere@univ-rennes1.fr) Shayne Waldron (waldron@math.auckland.ac.nz) Integral error formulae for the scale of mean value interpolations A multivariate form of Hardy's inequality, and L_p-error error bounds for the scale of mean value interpolations Paul Sablonniere (sablonniere@univ-rennes1.fr) Shayne Waldron (waldron@math.auckland.ac.nz) Integral error formulae for the scale of mean value interpolations A multivariate form of Hardy's inequality, and L_p-error error bounds for the scale of mean value interpolations Shayne Waldron (waldron@math.auckland.ac.nz) Integral error formulae for the scale of mean value interpolations A multivariate form of Hardy's inequality, and L_p-error error bounds for the scale of mean value interpolations Integral error formulae for the scale of mean value interpolations A multivariate form of Hardy's inequality, and L_p-error error bounds for the scale of mean value interpolations A multivariate form of Hardy's inequality, and L_p-error error bounds for the scale of mean value interpolations References A long list of references , in TeX , in postscript This document is maintained by Shayne ( waldron@math.auckland.ac.nz ). Last Modified: . A long list of references , in TeX , in postscript This document is maintained by Shayne ( waldron@math.auckland.ac.nz ). Last Modified: .