at-net bulletin 129
Alexander Klein
Contributions to: at-n...@math.uni-giessen.de
Current editor: Martin Buhmann
WWW home-page:
http://www.uni-giessen.de/www-Numerische-Mathematik/at-net
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Contents:
1) Calendar of Events
2) Surveys in Approximation Theory
3) Table of Contents: JAT
4) New Publication
5) Table of Contents: CA
6) Table of Contents: CMFT
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1) Calendar of Events:
Jul 18-23, 2005 Algorithms for Approximation (Chester) (Bull 125)
Jul 7-9, 2005 Workshop on Approximation Theory (Santander) in the
Foundations of Computational Mathematics Conference
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2) From: Surveys in Approximation Theory <s...@math.technion.ac.il>
Dear Approximation Theorist,
This is to inform you about a project we have started called "Surveys in
Approximation Theory" (SAT). As the name suggests, this is meant to be a
collection of surveys in the area of approximation theory. It is
web-based
and free.
Its main homepage is at:
http://www.math.technion.ac.il/sat/
Have a look.
SAT is not meant as a first-publication journal, nor a collection of
electronic monographs or textbooks. Instead, the survey articles we
hope to
collect here are meant to review a topic while citing, explaining and
assessing the most relevant, important and interesting aspects of the
topic.
We hope that, in this manner, SAT will provide a valuable and unique
service
to the approximation theory and mathematical community. Articles may be
broad or narrow in scope. The essential requirements are a well
specified
topic, together with clear exposition.
Articles will appear as they are ready. All articles will be peer
reviewed
(refereed). Peer reviewing is essential in the maintainance of high
standards. No attempt will be made to speed up the refereeing process
at the cost of quality.
If you wish to submit an article, please confer with any one of us and
let
us have a tentative title and a brief description of planned contents.
If you would like to be notified of new papers accepted to SAT then
subscribe to the electronic mailing list.
We subscribe to the notion that mathematical research and exposition
should be freely available on-line. That should be the 21st century
meaning of the word "publication". This is one motivation for SAT.
Carl de Boor, Allan Pinkus, Vilmos Totik
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3) From: Thomas Hogan <ho...@math.ohio-state.edu>
Table of Contents: J. Approx. Theory, Volume 132, Number 2, February
2005
Online at www.sciencedirect.com/science/issue/6843-2005-998679997-565833
B. Beckermann, J. Coussement, and W. Van Assche
Multiple Wilson and Jacobi-Pi\~{n}eiro polynomials
155--181
Fernado Cobos and Joaquim Mart\'{\i}n
On interpolation of function spaces by methods defined by means of
polygons
182--203
I. A. Vestfrid
Whitney constants and approximation of $m$-quasi-linear forms by
$m$-linear forms
204--211
Dimitar K. Dimitrov and Juan Manuel Pe\~{n}a
Almost strict total positivity and a class of Hurwitz polynomials
212--223
P. Barone
On the distribution of poles of Pad\'{e} approximants to the
$Z$-transform of complex Gaussian white noise
224--240
Feilong Cao
Derivatives of multidimensional Bernstein operators and smoothness
241--257
Wang Heping
Korovkin-type theorem and application
258--264
Author index for Volume 132
265
Table of Contents: J. Approx. Theory, Volume 133, Number 1, March 2005
Online at www.sciencedirect.com/science/issue/6843-2005-998669998-572504
Yuan Xu
Monomial orthogonal polynomials of several variables
1--37
G. E. Karadzhov and M. Milman
Extrapolation theory: new results and applications
38--99
Z. Ditzian and S. Tikhonov
Ul'yanov and Nikol'skii-type inequalities
100--133
Long Chen
New analysis of the sphere covering problems and optimal polytope
approximation of convex bodies
134--145
Table of Contents: J. Approx. Theory, Volume 133, Number 2, April 2005
Online at www.sciencedirect.com/science/issue/6843-2005-998669997-583992
D. Leviatan and A. V. Prymak
On 3-monotone approximation by piecewise polynomials
147--172
V. I. Kolyada and F. Marcell\'{a}n
Kernels and best approximations related to the system of ultraspherical
polynomials
173--194
Ferenc Weisz
Marcinkiewicz multiplier theorem and the Sunouchi operator for
Ciesielski-Fourier series
195--220
Ole Christensen and Thomas Strohmer
The finite section method and problems in frame theory
221--237
Vladimir Andrievskii
Polynomial approximation of analytic functions on a finite number of
continua in the complex plane
238--244
Yujing Guan, Shuwang Lu, and YuanYan Tang
Characterization of compactly supported refinable splines whose shifts
form a Riesz basis
245--250
Yu. Lyubarskii and W. R. Madych
Interpolation of functions from generalized Paley-Wiener spaces
251--268
J. Levesley and X. Sun
Approximation in rough native spaces by shifts of smooth kernels
on spheres
269--283
V. A. Prokhorov
On best rational approximation of analytic functions
284--296
Author index for Volume 133
297
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4) From: Detlef H. Mache <ma...@math.uni-dortmund.de> or
<ma...@tfh-bochum.de>
New ISNM - Publication:
"Trends and Applications
in Constructive Approximation"=20
by =20
De Bruin, M.G., Delft (The Netherlands)
Mache, D.H., Bochum (Germany)
Szabados, J., Budapest (Hungary)
ISNM - International Series of Numerical Mathematics, Vol. 151,
Springer Group - Birkh=E4user Verlag (2005). 312 pages. Hardcover.
ISBN 3-7643-7124-2
This volume contains contributions from international experts on the
fields
of Constructive Approximation. Constructive Approximation has reached
out to encompass the computational and approximation-theoretical aspects
of various interesting fields in Applied Mathematics such as
(multivariate) approximation methods, quasi-interpolation, and
approximation by
(orthogonal)
polynomials, as well as the modern mathematical developments in neuro
fuzzy approximation, RBF-networks, industrial and engineering
applications.
Articles from: Adell, Altomare, Braess, Catinas, Davydov, de Bruin,
Della Vecchia, Igel, Kuzmin, Mache, Morandi, Mastroianni,
Mazure, Mhaskar, Meyer, Michels, Obermaier, Platte, Rasa,
Sablonniere, Turek, Toussaint, Szwarc, Szabados, Vertesi, Wiegand and
others.
Informations under: ma...@math.uni-dortmund.de or
ma...@tfh-bochum.de
or use the webpage:
http://www.mathematik.uni-dortmund.de/~mache/mache.htm
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5) From: Ed Saff <es...@math.vanderbilt.edu>
Constructive Approximation
Vol. 21 No. 3 2005
Table of Contents
"Multivariate Interpolation by Polynomials and Radial Basis Functions"
by R. Schaback
Pages 293-317
"The 'Full Muntz Theorem' Revisited"
by T. Erdelyi
Pages 319-335
"Almost Optimal Estimates for Best Approximation by Translates On a
Torus"
by V. Maiorov
Pages 337-349
"Quadratic Hermite-Pade Approximation to the Exponential Function: A
Riemann-Hilbert Approach"
by A.B.J. Kuijlaars, W. Van Assche, and F. Wielonsky
Pages 351-412
"A Trivariate Box Macroelement"
by L.L. Schumaker and T. Sorokina
Pages 413-431
Vol. 22, No. 1, 2005
Table of Contents
"Generalized Shift-Invariant Systems"
by A. Ron and Z. Shen
Pages 1-45
"The Spectral Theory of Toeplitz Operators Applied to Approximation
Problems in Hilbert Spaces"
by M. Smith
Pages 47-65
"Almost Everywhere Convergence of Orthogonal Expansions of Several
Variables"
by Yuan Xu
Pages 67-93
"Characterization of Periodic L^1-Unicity Subspaces"
by M. Sommer
Pages 95-112
"Shift Generated Haar Spaces on Compact Domains in the Complex Plane"
by W. Hengartner and G. Opfer
Pages 113-132
"Effective Discretization of the Energy Integral and Grunsky
Coefficients
in Annuli"
by M. Stiemer
Pages 133-147
Constructive Approximation
An International Journal for Approximations and Expansions
Published by Springer
http://www.math.vanderbilt.edu/~ca
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6) From: off...@cmft.de
COMPUTATIONAL METHODS AND FUNCTION THEORY Volume 4 (2004), Number 2
TABLE OF CONTENTS
(Abstracts online available at http://www.heldermann.de/CMF/cmf04.htm)
The Apollonian Metric: Quasi-Isotropy and Seittenranta's Metric, Pages
249-273
P. A. Hästö
On a Problem of A. Eremenko, Pages 275-282
I. V. Ostrovskii
Behaviour of Kernel Functions under Homotopic Variations of Planar
Domains, Pages 283-298
E. Schippers
Unicity Theorems for Meromorphic Functions and their Derivatives,
Pages 299-314
J. Chang, M. Fang, D. Yang
Badly Approximable Unimodular Functions in Weighted L^p Spaces, Pages
315-326
A. B. Aleksandrov
Extending a Theorem of Bergweiler and Langley Concerning Non-Vanishing
Derivatives, Pages 327-339
E. F. Clifford
On Maximum Modulus Points and Zero Set for an Entire Function of
either Zero or Infinite Order, Pages 341-354
A. E. Üreyen
Description of Inverse Polynomial Images which Consist of Two Jordan
Arcs with the Help of Jacobi's Elliptic Functions, Pages 355-390
F. Peherstorfer, K. Schiefermayr
A Carleman-Nevanlinna Theorem and Summation of the Riemann
Zeta-Function Logarithm, Pages 391-403
A. A. Kondratyuk
On a Problem of MacLane Concerning Arc Tracts, Pages 405-418
K. F. Barth, P. J. Rippon
Quadrilaterals and John Disks, Pages 419-434
O. J. Broch
Local Decomposition of Planar Harmonic Mappings, Pages 435-446
A. Lyzzaik, D. Bshouty
On an Asymptotic Equality Between the Minimum and the Maximum of
δ-Subharmonic Functions of Zero Genus, Pages 447-460
I. Chyzhykov, O. Skaskiv
Notes on Certain Star-Shift Invariant Subspaces, Pages 461-474
J. R. Akeroyd, K. Karber
Extremal Point Methods for Robin Capacity, Pages 475-496
M. Stiemer
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