Methods of Approximation Theory in Complex Analysis and Mathematical Physics (Record no. 30908)

000 -LEADER
fixed length control field 04569nam a22004815i 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783540477921
-- 978-3-540-47792-1
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515
245 10 - TITLE STATEMENT
Title Methods of Approximation Theory in Complex Analysis and Mathematical Physics
Sub Title Leningrad, May 13–24, 1991 /
Statement of responsibility, etc edited by Andrei A. Gonchar, Edward B. Saff.
246 3# - VARYING FORM OF TITLE
Title proper/short title The Euler International Mathematical Institute
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg,
Year of publication 1993.
300 ## - PHYSICAL DESCRIPTION
Number of Pages 222 p.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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 domains with interior zero angles -- Duality principle in linearized rational approximation -- Universality of the fibonacci cubature formulas -- Parameters of orthogonal polynomials -- Some numerical results on best uniform polynomial approximation of X ? on [0, 1].
520 ## - SUMMARY, ETC.
Summary, etc 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. Suslov: Classical Biorthogonal Rational Functions.- V.P. Havin, A. Presa Sague: Approximation properties of harmonic vector fields and differential forms.- O.G. Parfenov: Extremal problems for Blaschke products and N-widths.- A.J. Carpenter, R.S. Varga: Some Numerical Results on Best Uniform Polynomial Approximation of x on 0,1 .- J.S. Geronimo: Polynomials Orthogonal on the Unit Circle with Random Recurrence Coefficients.- S. Khrushchev: Parameters of orthogonal polynomials.- V.N. Temlyakov: The universality of the Fibonacci cubature formulas.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Global analysis (Mathematics).
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Analysis.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Gonchar, Andrei A.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Saff, Edward B.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/BFb0117469
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 1993.
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-- rdamedia
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-- online resource
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-- text file
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
-- 0075-8434 ;
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK1614 http://dx.doi.org/10.1007/BFb0117469 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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