Methods of Approximation Theory in Complex Analysis and Mathematical Physics : Leningrad, May 13-24, 1991. 1st ed. 1993

種類:

電子ブック

責任表示:

edited by Andrei A. Gonchar, Edward B. Saff

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993

著者名:

• Gonchar, Andrei A.
• Saff, Edward B.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1550

ISBN:

9783540477921 [3540477926]    

注記:

Bernstein theorems for harmonic functions -- Spectral theory of nonlinear equations and n-widths of Sobolev spaces -- On wavelet analysis -- Polynomials orthogonal on the unit circle with random recurrence coefficients -- Using the refinement equation for the construction of pre-wavelets IV: Cube splines and elliptic splines united -- Strong asymptotics for orthogonal polynomials -- Exact convergence rates for best L P rational approximation to the signum function and for optimal quadrature in H P -- Uniform rational approximation of |X| -- Classical biorthogonal rational functions -- A direct proof for Trefethen’s conjecture -- Approximation properties of harmonic vector fields and differential forms -- A problem of Axler and Shields on nontangential limits and maximal ideal space of some pseudonanalytic algebras -- Degree of approximation of analytic functions by “near the best” polynomial approximants -- Extremal problems for Blaschke products and widths -- On the convergence of Bieberbach polynomials in
The book incorporates research papers and surveys written by participants ofan International Scientific Programme on Approximation Theory jointly supervised by Institute for Constructive Mathematics of University of South Florida at Tampa, USA and the Euler International Mathematical Instituteat St. Petersburg, Russia. The aim of the Programme was to present new developments in Constructive Approximation Theory. The topics of the papers are: asymptotic behaviour of orthogonal polynomials, rational approximation of classical functions, quadrature formulas, theory of n-widths, nonlinear approximation in Hardy algebras,numerical results on best polynomial approximations, wavelet analysis. FROM THE CONTENTS: E.A. Rakhmanov: Strong asymptotics for orthogonal polynomials associated with exponential weights on R.- A.L. Levin, E.B. Saff: Exact Convergence Rates for Best Lp Rational Approximation to the Signum Function and for Optimal Quadrature in Hp.- H. Stahl: Uniform Rational Approximation of x .- M. Rahman, S.K.

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