94e:41001
Progress in approximation theory.
An international perspective. Proceedings of the International Conference
on Approximation Theory held at the University of South Florida, Tampa,
Florida, March 19--22, 1990. Edited by A. A. Gonchar and E. B. Saff. Springer
Series in Computational Mathematics, 19.
Springer-Verlag, New York, 1992. xviii+451 pp. $79.00. ISBN
0-387-97901-8
Contents: N. M. Atakishiyev [N. M. Atakishiev] and S. K. Suslov, Difference
hypergeometric functions (1--35); M. E. H. Ismail, R. Perline and J. Wimp,
Pade approximants for some $q$-hypergeometric functions (37--50); S. C.
Milne, Summation theorems for basic hypergeometric series of Schur function
argument (51--77); P. Nevai, Orthogonal polynomials, recurrences, Jacobi
matrices, and measures (79--104); A. L. Levin and E. B. Saff, Szego type
asymptotics for minimal Blaschke products (105--126); A. I. Aptekarev and
H. Stahl [Herbert Stahl], Asymptotics of Hermite-Pade polynomials (127--167);
A. A. Gonchar, E. A. Rakhmanov and S. P. Suetin, On the rate of convergence
of Pade approximants of orthogonal expansions (169--190); D. S. Lubinsky,
Spurious poles in diagonal rational approximation (191--213); C. A. Micchelli,
Expansions for integrals relative to invariant measures determined by contractive
affine maps (215--239); S. Demko, Approximation of measures by fractal
generation techniques (241--260); R. A. DeVore, P. Petrushev and X. M.
Yu [Xiang Ming Yu], Nonlinear wavelet approximation in the space $C({R}\sp
d)$ (261--283); A. A. Borichev, Completeness of systems of translates and
uniqueness theorems for asymptotically holomorphic functions (285--293);
N. U. Arakelyan, Approximation by entire functions and analytic continuation
(295--313); N. K. Nikolskii and V. I. Vasyunin, Quasi-orthogonal Hilbert
space decompositions and estimates of univalent functions. II (315--331);
V. I. Kolyada, On the differential properties of the rearrangements of
functions (333--352); K. I. Oskolkov, A class of I. M. Vinogradov's series
and its applications in harmonic analysis (353--402); T. S. Norfolk, A.
Ruttan and R. S. Varga, A lower bound for the de Bruijn-Newman constant
$\Lambda$. II (403--418); P. Borwein and E. B. Saff, On the denseness of
weighted incomplete approximations (419--429); M. von Golitschek, G. G.
Lorentz and Y. Makovoz, Asymptotics of weighted polynomials (431--451).
\{The papers are being reviewed individually.\}