AT-NET Bull 126
Martin....@math.uni-giessen.de
AT-NET BULLETIN NO. 126, 04.09.2004
Contributions to: at-n...@math.uni-giessen.de
Current editor: Martin Buhmann
Home-page: http://www.uni-giessen.de/www-Numerische-Mathematik/at-net
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Contents:
1) Calendar of Events
2) Table of Contents: Comput. Methods Funct. Theory
3) New book
4) Table of Contents: CA
5) Table of Contents: LAA
6) Table of Contents: JAT
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1) Calendar of Events:
Nov 7-9, 2004 Constructive Functions (Atlanta) (Bull 121)
Jul 18-23, 2005 Algorithms for Approximation (Chester) (Bull 125)
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2) From: CMFT Journal <cm...@wmax03.mathematik.uni-wuerzburg.de>
COMPUTATIONAL METHODS AND FUNCTION THEORY Volume 4 (2004), Number 1
TABLE OF CONTENTS
(Abstracts online available at http://www.heldermann.de/CMF/cmf04.htm)
Remarks on the Bohr Phenomenon, Pages 1-19
C. Bénéteau, A. Dahlner, D. Khavinson
Construction of Convex Mappings of <I>p</I>-Balls in <B>C</B><SUP>2</SUP>, Pages 21-34
J. R. Muir Jr., T. J. Suffridge
On Crofoot-Sarason's Conjecture for Harmonic Polynomials, Pages 35-41
A. Lyzzaik, D. Bshouty
Completeness of Spaces of Harmonic Functions under Restricted Supremum Norms, Pages 43-45
S. J. Gardiner
Iterated Function Systems, Capacity and Green's Functions, Pages 47-58
L. Baribeau, D. Brunet, Th. Ransford, J. Rostand
The Logarithmic Derivative for Minimal Surfaces in <B>R</B><SUP>3</SUP>, Pages 59-75
G. Rhoads, A. Weitsman
Geometric Properties of Harmonic Shears, Pages 77-96
P. Greiner
Three Extremal Problems for Hyperbolically Convex Functions, Pages 97-109
R. W. Barnard, K. Pearce, G. B. Williams
Conformal Mapping of Parabola-Shaped Domains, Pages 111-126
T. Carroll, W. K. Hayman
Curvature Properties of Planar Harmonic Mappings, Pages 127-142
M. Chuaqui, P. Duren, B. Osgood
Small Perturbations of the Riemann Zeta Function and their Zeros, Pages 143-150
P. M. Gauthier, E. S. Zeron
Landau's Theorem for Planar Harmonic Mappings, Pages 151-158
M. Dorff, M. Nowak
On Quaternionic Analysis and its Modifications, Pages 159-182
H. Leutwiler, P. Zeilinger
Cases of Equality for a Class of Bound-Preserving Operators over <I>P<SUB>n</SUB></I>, Pages 183-188
R. Fournier
Asymptotic Expansion of the Krawtchouk Polynomials and their Zeros, Pages 189-226
W.-Y. Qiu, R. Wong
On the Zeros of <I>af(f<SUP>(k)</SUP>)<SUP>n-1</SUP>, n≥2</I>, Pages 227-235
A. Alotaibi
Deficient Values of Derivatives of Meromorphic Functions in the Class S, Pages 237-247
J. K. Langley
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3) From: jjto...@unavarra.es
R. Arcangeli, M. C. Lopez de Silanes, J. J. Torrens:
"Multidimensional Minimizing Splines. Theory and Applications",
Kluwer Academic Publishers, Boston, 2004,
hardbound, 280 pp., ISBN 1-4020-7786-6.
Also avalaible as e-book.
http://www.wkap.nl/prod/b/1-4020-7786-6
This book is devoted to the theory of D^m-splines and some of its
applications to the approximation of surfaces. The D^m-splines over an
open subset W of R^n are multidimensional minimizing splines, that is,
functions defined on W, subject to interpolation or smoothing
conditions, and which minimize an energy functional involving
derivatives of order m. When W is R^n, the D^m-splines are the splines
introduced by J. Duchon. These D^m-splines are known as thin plate
splines or, more generally, polyharmonic splines. The point of view
adopted in this book is different from that of
J. Duchon, in the sense that the notion of reproducing kernel is not
used. This approach allows the rediscovery of J. Duchon's results and
also the obtaining of supplementary results relative to convergence and
error estimates.
Then, following the procedure used for D^m-splines over R^n, the
authors treat the topics concerning the D^m-splines over a bounded
domain and their approximants of finite element type, called discrete
D^m-splines.
The book finally focuses on several surface fitting problems which
arise in oil research and geophysical sciences, paying special
attention to the approximation of faulted explicit surfaces. Through
detailed theoretical discussions and numerical examples, the authors
show how discrete D^m-splines can be satisfactorily used to solve these
problems.
This book is meant for mathematicians, geologists, engineers and, in
general, researchers and postgraduate students involved in spline
function theory, surface fitting problems or variational methods.
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4) From: es...@atlas.math.vanderbilt.edu
Constructive Approximation
Vol. 20, No. 4, 2004
Table of Contents
"Metric Properties and Exceptional Sets of the Oppenheim Expansions Over
the Field of Laurent Series"
A.H. Fan and J. Wu
Pages 465-495
"Asymptotic Zero Behavior of Laguerre Polynomials with Negative Parameter"
A.B.J. Kuijlaars and K. T-R McLaughlin
Pages 497-523
"Reduction Formulas for Karlsson-Minton-Type Hypergeometric Functions"
H. Rosengren
Pages 525-548
"An Adaptive Mesh-Refining Algorithm Allowing for an H^1 Stable L^2
Projection Onto Courant Finite Element Spaces"
C. Carstensen
Pages 549-564
"On the Green Function for a Complement of a Finite Number of Real
Intervals"
V.V. Andrievskii
Pages 565-583
"Spectral Gaps Resulting from Periodic Perturbations of a Class of Jacobi
Operators"
J. Dombrowski, J. Janas, M. Moszynski and S. Pedersen
Pages 585-601
"On the Equivalence Between Existence of B-Spline Bases and Existence of
Blossums"
M.-L. Mazure
Pages 603-624
"On Bivariate Smoothness Spaces Associated with Nonlinear Approximation"
S. Dekel, D. Leviatan and M. Sharir
Pages 625-646
"Simultaneous Representation and Approximation Formulas and High-Order
Sobolev Embedding Theorems on Stratified Groups"
G. Lu and R.L. Wheeden
Pages 647-668
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5) From: Hans Schneider <ha...@math.wisc.edu>
* Linear Algebra and its Applications
Volume 389, (15 September 2004)
http://www.sciencedirect.com/science/issue/5653-2004-996109999-513971
TABLE OF CONTENTS
Principal submatrices of co-order one with the biggest Perron root, Pages 1-22
S. V. Savchenko
Minimization problems for (R,S)-symmetric and (R,S)-skew symmetric matrices, Pages 23-31
William F. Trench
Cyclizable matrix pairs over and a conjecture on Toplitz pencils, Pages 33-42
Wiland Schmale and Pramod K. Sharma
Combinatorial structures associated with Lie algebras of finite dimension, Pages 43-61
A. Carriazo, L. M. Fernandez and J. Nunez
On Behrens-Fisher problem for continuous time Gaussian processes, Pages 63-76
Pilar Ibarrola and Ricardo Velez
New trace norm inequalities for 2 x 2 blocks of diagonal matrices, Pages 77-93
Christopher King and Michael Nathanson
Construction of real antisymmetric and bi-antisymmetric matrices with prescribed spectrum data, Pages 95-106
Qingxiang Yin
Bases in max-algebra, Pages 107-120
R. A. Cuninghame-Green and P. Butkovic
Invertible incline matrices and Cramer's rule over inclines, Pages 121-138
Song-Chol Han and Hong-Xing Li
On the spectral radius of graphs with cut edges, Pages 139-145
Huiqing Liu, Mei Lu and Feng Tian
Automorphisms of Mn, partially ordered by rank subtractivity ordering, Pages 147-158
Peter Legia
Drazin-Moore-Penrose invertibility in rings, Pages 159-173
Pedro Patricio and Roland Puystjens
Two results on basic oscillatory matrices, Pages 175-181
Miroslav Fiedler and Thomas L. Markham
On some operator norm inequalities, Pages 183-187
Ameur Seddik
New vector sequence transformations, Pages 189-213
C. Brezinski and M. Redivo-Zaglia
On the semigroup of standard symplectic matrices and its applications, Pages 215-225
M. Chu, N. Del Buono, F. Diele, T. Politi and S. Ragni
Birkhoff's contraction coefficient, Pages 227-234
Joseph E. Carroll
Standard eigenvectors of incline matrices, Pages 235-248
Song-Chol Han, Hong-Xing Li and Yun-Dong Gu
A Lagrange matrices approach to confluent Cauchy matrices, Pages 249-268
Luis Verde-Star
On the even permutation polytope, Pages 269-281
William H. Cunningham and Yaoguang Wang
Extremal trigonometric and power polynomials in several variables, Pages 283-293
L. A. Sakhnovich
Further properties of generalized and hypergeneralized projectors, Pages 295-303
JerzyK. Baksalary, OskarMaria Baksalary and Xiaoji Liu
On Krein's formula in indefinite metric spaces, Pages 305-322
Sergey Belyi and Eduard Tsekanovskii
On polynomial approximation of the inverseof an operator, Pages 323-328
Avraham Feintuch
An extended compact profile iterative method criterion for sparse H-matrices, Pages 329-345
A. Hadjidimos
Congruences of a square matrix and its transpose, Pages 347-353
Roger A. Horn and Vladimir V. Sergeichuk
Perturbation analysis of generalized inverses of linear operators in Banach spaces, Pages 355-364
Qianglian Huang and Jipu Ma
Some properties on Schur complements of H-matrices and diagonally dominant matrices, Pages 365-380
Jianzhou Liu and Yunqing Huang
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6) From: Thomas Hogan <ho...@math.ohio-state.edu>Table of Contents: J. Approx. Theory, Volume 127, Number 1, March 2004
Online at www.sciencedirect.com/science/issue/6843-2004-998729998-498852
T. Kasuga and R. Sakai
Orthonormal polynomials for generalized Freud-type weights and
higher-order Hermite-Fej\'{e}r interpolation polynomials
1--38
P\'{e}ter Simon
$(C,\alpha)$ summability of Walsh-Kaczmarz-Fourier series
39--60
Maura Salvatori and Paolo M. Soardi
Multivariate tight affine frames with a small number of generators
61--73
Pedro Ter\'{a}n
Function-valued Korovkin systems without quasiconcavity and set-valued
Korovkin systems without convexity
74--82
Ana Portilla, Yamilet Quintana, Jos\'{e} M. Rodrmguez, and Eva Tourms
Weierstrass' theorem with weights
83--107
Lars Filipsson
Kergin interpolation in Banach spaces
108--123
David P\'{e}rez-Garc\'{\i}a and Ignacio Villanueva
Where do homogeneous polynomials on ${\ell_1}^n$ attain their norm?
124--133
E. Belinsky, F. Dai, and Z. Ditzian
Erratum to ``Multivariate approximating averages''
[J.~Approx.\ Theory 125 (2003) 85--105]
134
Table of Contents: J. Approx. Theory, Volume 127, Number 2, April 2004
Online at www.sciencedirect.com/science/issue/6843-2004-998729997-501577
A. Bouhamidi and A. Le M\'{e}haut\'{e}
Radial basis functions under tension
135--154
H. S. Jung
Estimates for the first and second derivatives of the
Stieltjes polynomials
155--177
Heinz H. Bauschke, Patrick L. Combettes, and D. Russell Luke
Finding best approximation pairs relative to two closed convex sets in
Hilbert spaces
178--192
Xinghua Wang, Ming-Jun Lai, and Shijun Yang
On the divided differences of the remainder in polynomial interpolation
193--197
Grzegorz Lewicki and Michael Prophet
Codimension-one minimal projections onto Haar subspaces
198--206
Semyon Rafalson
On constants in some inequalities for intermediate derivatives on a
finite interval
207--222
B. Della Vecchia, G. Mastroianni, and J. Szabados
Weighted approximation of functions on the real line by
Bernstein polynomials
223--239
Paul Nevai and Vilmos Totik
Denisov's theorem on recurrence coefficients
240--245
Author index for Volume 127
246
Table of Contents: J. Approx. Theory, Volume 128, Number 1, May 2004
Online at www.sciencedirect.com/science/issue/6843-2004-998719998-503643
Ben-yu Guo and Li-lian Wang
Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
1--41
Ingo Steinwart
Entropy of convex hulls---some Lorentz norm results
42--52
Andreas Defant, Domingo Garcma, and Manuel Maestre
Estimates for the first and second Bohr radii of Reinhardt domains
53--68
Gy\"{o}rgy G\'{a}t
On the pointwise convergence of Ces\`{a}ro means of two-variable
functions with respect to unbounded Vilenkin systems
69--99
Chelo Ferreira
A note on the error bound for the remainder of an asymptotic expansion
of the double gamma function
100--101
Table of Contents: J. Approx. Theory, Volume 128, Number 2, June 2004
Online at www.sciencedirect.com/science/issue/6843-2004-998719997-505987
Chin-Cheng Lin and Kunyang Wang
Convergence rate of Fourier-Laplace series of $L^2$-functions
103--114
Hans-J\"{u}rgen Schmeisser and Winfried Sickel
Spaces of functions of mixed smoothness and approximation from
hyperbolic crosses
115--150
Dorothee D. Haroske and Susana D. Moura
Continuity envelopes of spaces of generalised smoothness, entropy and
approximation numbers
151--174
K. H. Kwon and D. W. Lee
Inequalities of Rafalson type for algebraic polynomials
175--186
Dietrich Braess and Thomas Sauer
Bernstein polynomials and learning theory
187--206
Werner Linde
Kolmogorov numbers of Riemann-Liouville operators over small sets and
applications to Gaussian processes
207--233
Author index for Volume 128
234
Table of Contents: J. Approx. Theory, Volume 129, Number 1, July 2004
Online at www.sciencedirect.com/science/issue/6843-2004-998709998-509316
Hans Triebel
Approximation numbers in function spaces and the distribution of
eigenvalues of some fractal elliptic operators
1--27
Simon Hubbert and Tanya M. Morton
A Duchon framework for the sphere
28--57
Simon Hubbert and Tanya M. Morton
$L_p$-error estimates for radial basis function interpolation on
the sphere
58--77
Deguang Han
Tight frame approximation for multi-frames and super-frames
78--93
D. G. Kubayi and D. S. Lubinsky
A Hilbert transform representation of the error in Lagrange interpolation
94--100
Ying Guang Shi
Erratum to ``Convergence of Hermite-Fej\'{e}r type interpolation of
higher order on an arbitrary system of nodes''
[J.~Approx.\ Theory 123 (2003) 173--187]
101
Ying Guang Shi
Convergence of Hermite-Fej\'{e}r type interpolation of higher order on
an arbitrary system of nodes
102--117
Table of Contents: J. Approx. Theory, Volume 129, Number 2, August 2004
Online at www.sciencedirect.com/science/issue/6843-2004-998709997-513827
Joan Cerd\`{a} and Joaquim Mart\'{\i}n
Commutators for Fourier multipliers on Besov spaces
119--128
A. I. Aptekarev and W. Van Assche
Scalar and matrix Riemann-Hilbert approach to the strong asymptotics
of Padi approximants and complex orthogonal polynomials with
varying weight
129--166
Wen Song and Zhengjun Cao
The generalized decomposition theorem in Banach spaces and
its applications
167--181
I. Asekritova and Yu. Brudnyi
Interpolation of several multiparametric approximation spaces
182--206
L. Bernal-Gonz\'{a}lez, M. C. Calder\'{o}n-Moreno, and
J. A. Prado-Bassas
Maximal cluster sets along arbitrary curves
207--216
Alexey R. Alimov
Characterisations of Chebyshev sets in $c_0$
217--229
Bruno Pelletier
Approximation by ridge function fields over compact sets
230--239
Announcement
240
Author index for Volume 128
241
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